If f (x) = 4 x 2 4 x , f (x) f (1 − x) = a and f (9 7 1 ) f (9 7 2 ) ⋯ f (9 7 9 6 ) = b then order pair (a, b) is This question has multiple correct options A(b) Find an antiderivative for f(x) = 1 (x 2)4 Solution F(x) = 1 3(x 2)3 is an antiderivative (guess it, or make the substitution u= x 2 and integrate) Note that here the constant Cis not necessary (although adding it still leads to a correct answer), sinceLet f N → N be a function defined as f (x) = 4 x 2 1 2 x 1 5 Show that f is not invertible, but f N → S invertible (whereS is range of f) Find the inverses f and hence find f − 1 ( 3 1 ) and f − 1 ( 8 7 )
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If f(x)=4^x/4^x 2 then f(1/50)-That it is multiplied by 1,then its graph is symmetrical with respect to the origin, which means it is odd (c) If neither (a) or (b) apply then it is neither an even function or an odd function f(x) = x 4 4x 2 1 f(x) = (x) 4 4(x) 2 2 f(x) = x 4 4x 2 That's exactly the same right side as the original So it's even EdwinWe are told that mathf(x^2 1) = x^4 5x^2 3/math Using the substitution mathu = x^2 1/math, we thus have mathf(u) = x^4 (2 3)x^2 (1 3 1
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1 Exercise 4150 Find the absolute maximum and absolute minimum values of f(x) = x3 −6x2 9x2 on the interval −1,4 Answer First, we find the critical points of f To do so, take the derivative f0(x) = 3x2 −12x9 Then f0(x) = 0 when 0 = 3x2 −12x9 = (3x−3)(x−3), ie, when x = 1Precalculus questions and answers;To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW If `f(x)=x^4 ax^3 bx^2 cx d and f(1)=10, f(2)=, f (3)=30` then find the
Click here 👆 to get an answer to your question ️ if x1/x=4 then x41/x4=?Evaluating f(a) In mathematics, when given a function f(x), we can evaluate f(a), where a is a real number or variable expression, by plugging a in for x into f(x) anywhere that x occurs We then If f(x) satisfies the conditions of Rolle's theorem in 1, 2 and f(x) is continuous in 1, 2 , then ∫f'(x)dx for x ∈ 1, 2 asked in Limit, continuity and differentiability by Vikky01 ( 418k points)
Determining f 1 (x) of functions You write the inverse of \(f(x)\) as \({f^{ 1}}(x)\) This reverses the process of \(f(x)\) and takes you back to your original valuesClick here to see ALL problems on Functions Question If f (x)=x^4x2, then f (x)= This is the problem and I cannot find the answer Answer by checkley71 (8403) ( Show Source ) You can put this solution on YOUR website!2 See answers Advertisement Advertisement mysticd mysticd Hi , It is given that ,
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Simple and best practice solution for f(x)=2(x2)(x4)4 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it f^(1)(x) = sqrt(x4) We have f(x) = x^24 And we seek the inverse function, f^(1)(x) My preferred approach is to put y = x^24 A And rearrange to form an explicit relationship x=f(y), and this function is the inverse, f^(1)(x) So, from A we have x^2 = y4 x = sqrt(y4) Thus f^(1)(x) = sqrt(x4) Note that by the formal definition f^(1)(x) is not a If f(x)=4^x16 and g(x)=2x5, what is (fg)(x)?
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Asked in Mathematics by Afreen ( 307k points)Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreUse the distributive property to multiply 3 x 4 − 1 8 x 3 2 4 x 2 by x 1 and combine like terms 3x^{5}15x^{4}6x^{3}24x^{2} 3 x 5 − 1 5 x 4 6 x 3 2 4 x 2
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X^31/x^33*4 =64 Because x1/x=4 and x*1/x=1 x^31/x^312=64 x^31/x^3=52 now we need to do is (x^31/x^3)^2= (52)^2 apply formula (ab)^2=a^2b^22ab (x^3)^2 (1/x^3)^22x^3*1/x^3=2704 x^51/x^52=2704 x^51/x^5=2702hence answeredYeah, that's for it That means that F of X is equal to X to the 5th minus X cubed for acts class C Ever We're told that F of 1 equals two So f of negative one Is going to give us right here, this will be a 1 This will be a negative one Supposed to be plus one This will be a negative for some 4A bag contains 4 purple beads and 3 green beads A bead is drawn and then replaced before drawing the second bead
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Integrate 1/(cos(x)2) from 0 to 2pi; the answer is 44 This is because when you plug in 8 for "X" the equation of f(x)=6x4 turns into f(8)=6(8)4 Which simplifies into f(8)=484(c) Suppose x ⋆is an optimal solutionThen x is feasible, with f0(x⋆) = f0((1/k) Xk i=1 Qix) ≤ (1/k) Xk i=1 f0(Qix) = f0(x⋆) Therefore x⋆ is also optimal (d) Suppose x⋆ is a minimizer of f Let x = (1/n!) P P Px ⋆, where the sum is over all permutations Since x
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If f(x) = 4x3/6x4, x ≠ 2/3, then show that fof(x) = x for all x ≠ 2/3 What is the inverse of f?Solution Your input find the average rate of change of $$$ f\left (x\right)=x^ {2} $$$ on the interval $$$ \left 1,3\right $$$F(x) = x^2 4x for x less than or equal to 2, find f^1(x) y^2 4y = x, y less than or equal to 2 y^2 4y )x) = 0 y = 4 plus minus squareroot 4(1) (x)/2 = 2 plus minus squareroot 4 x, y less than or equal to 2 f^1 (x) = 2 squareroot 4 x
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Find stepbystep Calculus solutions and your answer to the following textbook question If f(1)=10 and f'(x)>=2 for 1Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, musicInverse\y=\frac{x}{x^26x8} inverse\f(x)=\sqrt{x3} inverse\f(x)=\cos(2x5) inverse\f(x)=\sin(3x) functioninversecalculator en Related Symbolab blog posts Functions A function basically relates an input to an output, there's an input, a
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Find the minimum by taking the derivitive of the function and setting it to zero Use the power rule which states d/dx x^n = n*x^(n1) f(x) = 2x^2 4x^1 3 f(x) = 2x Checking oneone f (x1) = 2x1 f (x2) = 2x2 Putting f(x1) = f(x2) 2x1 = 2 x2 x1 = x2 Hence, if f(x1) = f(x2) , x1 = x2 ∴ function f is oneone Onto f(x) = 2x Let f(x) = y, , such that y ∈ R 2x = y x = 𝑦2 Since y is a real number, Hence 𝑦2 will also be a real number So, x will also be a real number, ie, x ∈ R Davneet Singh is a graduate from Indian Institute of Technology, Kanpur He has been teaching from the past 10 years He provides courses for Maths and Science at Teachoo
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Dear Shreyans first calculate f(x) put 3x4/3x4 = y calculate x in terms of y x=4(1y)/3(1y) x2=2(5y)/3(1y) = 2(y5)/3(y1) f(y)=2(y5)/3(y1) f(x)=2(x5)/3(x1)See the answer See the answer See the answer done loadingFor the multiplicative inverse of a real number, divide 1 by the number For example, the reciprocal of 5 is one fifth (1/5 or 02), and the reciprocal of 025 is 1 divided by 025, or 4 The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution)
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Δ = b 24ac Δ = 4 24·1·(1) Δ = The delta value is higher than zero, so the equation has two solutions We use following formulas to calculate our solutionsFind Where Increasing/Decreasing f(x)=1/4x^42x^2 Find the derivative Tap for more steps By the Sum Rule, the derivative of with respect to is Evaluate Tap for more steps Since is constant with respect to , the derivative of with respect to is Differentiate using theFor example, if the red and green dice show the numbers 6 and 4, then X = 6 and Y = 1 Write down a table showing the joint probability mass function for X and Y, find the marginal distribution for Y, and compute E(Y) Here is a table showing the joint probability mass function, with the
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Example Using the formulas from above, we can start with x=4 f(4) = 2×43 = 11 We can then use the inverse on the 11 f1 (11) = (113)/2 = 4 And we magically get 4Integrate x^2 sin y dx dy, x=0 to 1, y=0 to pi;Answer to Find f (x) if f'(x) = 4 / square root 1 x^2 and f This problem has been solved!
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Example 4 Finding the Linear Approximation of √x Find the linear approximate of the square root function f(x) = √x at x = 16 Then, use the approximation to estimate √161 Add 1 to both sides y 1 = 4x Divide both sides by 4 y 1 4 = x Where ever there is a x write y and wherever there is a y write x y 1 4 = x is changed to x 1 4 = y = f −1(x) f −1(x) = x 1 4 Answer linkIt has been provided or mentioned that a function F(x1)=x^2–3x2 Interestingly, if we substitute a value of x1 in the place of x, we obtain, F((x1)1)=F(x) Therefore, F(x)=(x1)^2–3(x1)2=x^2–2x1–3x32=x^2–5x6 Hence, the function F(x) can
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F (X)=X^4X2 F (X)= (X)^4 (X)2 F (X)=X^4X2Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorWe get rid of parentheses F1/F4=0 We multiply all the terms by the denominator F*F4*F1=0 We add all the numbers together, and all the variables 4FF*F1=0 Wy multiply elements F^24F1=0 a = 1;
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Smrutilipsa1 smrutilipsa1 Math Primary School answered • expert verified If x1/x=4 then x41/x4=?View more examples » Access instant learning tools Get immediate feedback and guidance with stepbystep solutions and Wolfram Problem Generator LearnNow, that last example is not to be said it can't be done, but it involves completing the square to obtain f(x) = (x2) 2 2, then inversing it so that you get f1 (x) = 2sqrt(x2) However, there is another way that doesn't rely so much on informality and will work whether or not you can figure out exactly what you did with exactly one x
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Explanation Using the defined function, f(a) will produce the same result when substituted for x f(a) = a 2 – 5 Setting this equal to 4, you can solve for a a 2 – 5 = 4 a 2 = 9 a = –3 or 3Integrate x/(x1) integrate x sin(x^2) integrate x sqrt(1sqrt(x)) integrate x/(x1)^3 from 0 to infinity;We then apply the order of operations to find the overall value of the expression that results from that substitution If f(x) = \frac{2x B}{3x 4} and f(2) = 1/2, People often clean
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Domain of f(x) = x/(x^21) Natural Language;The variance of a discrete random variable is given by σ 2 = Var ( X) = ∑ ( x i − μ) 2 f ( x i) The formula means that we take each value of x, subtract the expected value, square that value and multiply that value by its probability Then sum all of those values There is an easier form of this formula we can use Relations and Functions Class 12 MCQs Questions with Answers Question 1 Question 2 Question 3 If F R → R such that f (x) = 5x 4 then which of the following is equal to f 1 (x) Question 4 Question 5 Question 6 Question 7
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