Given ?(?)=2?−1 and ?(?)=√?−3, find the following: g(x) – f(x) he domain of g(x) – f(x) ?(?)?(?) The domain of ?(?)?(?) The inverse of f(x) Does g(x) have an inverse? How do you know (without going through the steps to find one)?

Q: If f(z) = 7(x – 1) + 8 , what is the value of f(1) ? %3D

A: Given : f(x) = 7(x-1) + 8 To find : f(1) = ?

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: 4) f(x) = | -1<x<1 Ans. 25

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. GE = 2x – 7 and GF = x + 4. What is GD?

A: Given figure is: In △GBF and △GBE, we have ∠GFB=∠GEB                    Each 90°∠FBG=∠EBG…

Q: 4. (x) = x(x – 1) - 4x* – 3x* + 2x)

A: We have to find the value of degree, leading term, leading coefficient, and constant term of the…

Q: For f(x)=-5x+3 and g(x)=square root x-5 Find f^-1(x)

A: Given

Q: What effect does the “k” in f(x)= √x+k have on the graph of the square root function, √x and why ?

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Q: For the problem (f/g)(x) when you have f(x)=2x+1 and g(x)=3x-2 how do you get the domain? I don't…

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Q: 5. Find the exact solutions: x²-3x+6=0 6. Given f(x)=x-5 and g(x) = -2x²+ 4, find the composite…

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Q: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

A: Consider the provided question, We have to find the first full year in which the country A’s GDP…

Q: Let f(x) be the function x +1 1. Find the following: f(4) =[ f(-7) =[

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: consider the rational function f(x)= 2x+1 / x-5  4. what is the inverse function?  5. what is the…

A: Given,          The rational function is fx=2x+1x-5

Q: What effect does the “k” in f(x)= ^3 √x+k have on The graph of the cube root function ^3 √x and…

A: Given the function We have to find the effect of the k in the above function.

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

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Q: -1 Find f (x) for f (x) = 13 + 14x. Enter the exact answer.

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Q: Determine the inverse of g(x) = 2x+1/3x-1 and hence solve the equation, 1 = 2x+1/3x-1

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Q: For which values of c does f(x)=x2+cx+4 have a double root? For which values of c does f have no…

A: For which values oF c does F(x)=x2+cx+4 have a double root? For which values oF c does F have no…

Q: Find (f-1)'(a) for f(x) = 4x + 3 when a = -5. Enter an exact answer.

A: f(x) = 4x+3 ((f-1)') (5) = ?

Q: Given Ax) = - 2 use the first principles definition to find f'(1).

A:

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: Determine the error term of for the formula: f'(x)  ≈ (1/4h) [f(x+3h) - f(x-h)]

A: In order to find the error term of the given expression, first find the value of f(x+3h) and f(x-h).

Q: What is the end behavior for this equation? f (x) = - (x+3)² + 1 %3D | O As x -0, f (x) -00, and as…

A: The given function is: f(x)=-(x+3)2+1

Q: 3 - The real value of a function f(x) which corresponds to the value of xo is 5. The result which is…

A: The percentage relative error of the functions can be found by using the formula, Percentage…

Q: If f(x) = 3x - 2 and g(x)=x²-1, find a formula for (fog)(x). Enter your answer as an expression…

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Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: 4. Find a formula for the inverse of f(x) = V2 – 8x.

A:

Q: 82. If f(x) = (1 + x')30, what is f (58 (0)?

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Q: If f(x) = 3 + 2x and g(x) = square root of 4 + 4x Then, what is the composite function of f o g?

A: Given: - The functions are, f(x)=3+2x and g(x)=4+4x To find: - The composite function of f∘g

Q: = x² + 2x – 8,and Let f(x) = 2x + 8, g(x) h(x) = 3x 6. Perform the indicated operation. (Simplify as…

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Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

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Q: Let h(x) = f(x) +g(x). If f(x) = 2x2 and g(x) = 8x, what is h' (x)? Do not include "h' (x) =" in…

A: Given   h(x) = f(x) +g(x)f(x) = 2x2g(x) = 8x5So,h(x) = 2x2+8x5Now, h'(x) = d h(x)dxh'(x) = d…

Q: Let f(x) = · – 3(x + 4)"(x – 4)1º(x + 5)"| |

A: f(x) &gt; 0 can be solved using simple algebraic properties

Q: the radical is over both 21 and 2x f(x)=√21−2x and (x)=2x2−14. what is (g∘f)

A: gof(x)=g(f(x))           =2f(x)2-14           =2(21-2x)-14           =42-4x-14           =28-4x

Q: Given f-: x → x- 2 x*-1. x + 1 ' If f (k + 3) = 7, find the value of k. %3D

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Q: An approximation of f'(2.5) is: -0.52083 -0.09895 -0.14825 -0.14583

A: We will apply the continuity of f(x) at point x=2 to find the unknown value of a  Next we will take…

Q: x-5 If f (x) = find f (4) x2 -10x+25

A: Given, f(x)= (x-5)/(x²-10x+25) x=4

Q: If f(x)=8x³ (power value: 3) , g(x)=x/3, (power value: 1/3), then what is fog (x) =?

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Q: F(x) = 2x^2 -4 F(x+h)-f(x) /h =?

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Q: For the function f(x)=2x^2−3x−1 find f(x+h)−f(x)/h. Overall, how would I solve the difference…

A: The given function is

Q: 1. When the function f(x) is divided by x + 2, the quotient is x2 -x -8 and the remainder is -3.…

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Q: Find f'(x). f0x) = 6x - 7 e* (Type an exact answer in terms ofe.)

A: Given

Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

A:

Q: 2. What is the inverse of (x) = 9x + 5? x-5 a. --(x) =, b. f-'(x) = 9x-5 x-5 c. f-1(x) = d. f-1(x) =…

A: We have to find the inverse of  f(x) = 9x+5.

Q: For the function f(x)=5x +2 and h(x)=-2x^2+x+1 evaluate the expression f(7/2)-h(-2)= ? Need help on…

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Q: = x² + 2x – 8,and Let f(x) = 2x + 8, g(x) h(x) — Зх — 6. Perform the indicated operation. (Simplify…

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Q: Use the function of f and the given real number a to find (f-1)'(a). f(x)=(x+5)/(x+1),     x > -1,…

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Q: Let f(x) = 2x + 3. Can you find a number d with the property that , if |x – 1| < 8, then |f (x) – 5|…

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Q: Given f(x) = -3x + 3 and x = 4r In (3s). Find f, (2, 3). Give your answer correct to two decimal…

A: fr=∂f∂r=∂f∂x×∂x∂r fr=∂f∂r=-3×4ln(3s) fr(2,3)=-12ln(3×3) = -26.36669493

Q: Given f (x) = 6 (1 – x),what is the value of f (-5)? %3D

A: fx=61-x to find the value of f(-5) take x=-5

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.