Find the inverse of the function. f(x) =  x + 5 x + 7 f −1(x) =         ,   on domain (−∞, 1) ∪ (1, ∞)

Q: The function f(x) = -9/x – 8 + 5 x > 8 has an inversef-(x) defined on the domain x < 5. Find the…

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Q: f"(x)=6x +1/x^2, f'(1)=4, f(1)=2

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Q: inverse of the function x= 2/ y-3

A: Given:

Q: f(x) = 4x + 9x- 3 has an inverse g(x). %3D Use g '(x) = 1 to find g '(-3). %3D f'(g(x)) g'(-3)=

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Q: 6.c

A: To Determine: Inverse of the function:

Q: f(x)% 3D -x2 f(x) = -x2 0. 0. 土4 土3 ±2 -1 土1 士4

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Q: 10. A function f(x) has domain {x ɛ R} and range (y ɛ R, y 2 2}. What would be the domain and range…

A: The domain of f is the range of f-1 and the range of f is the domain of f-1. Here domain of f(x) is…

Q: 1. h(x) = x-7/x-2 2. g(x) = x^2 - 5  3. y = 3x-5

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Q: x-3 %3D 1. Find the inverse function of (x) = 4x+2

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Q: (a) A linear function is a one-to-one function. (b) The inverse of y =- is y = x. (c) The graph of…

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Q: Find the inverse of the function f(x) = - x+4. | f-(z) = Draw the functions f and f- 5+ 4 3. -5 -4…

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Q: 5-3x 5-2x Verify if f(x) = and g(x) = 2 are inverses. 3 %3D

A: Here we have to verify the given function are inverse of each other,  We have, f(x)=5-3x2 and…

Q: х — 5 is f-1(x) = x +2 The inverse of the function f(x) (2а — 5) (1+ x) (2х — 5) (5 – x) (2а + 5)…

A: Follow the steps.

Q: x* - 3 Find the inverse of the function f(x) %3D

A: Concept - Step (1) - Solve for x.Step (2) - Replace x with f-1x and f(x) with x.

Q: 1) f (f-1(x) 2) f-1(f(x) are equal to the identity function Find the inverse function of f (x)=…

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Q: Find inverse of the function g(x) = (x - 5)3 + 1. g(x)=cbrt(x+1)+5 g-1(x)=cbrt(x-5)+1…

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Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

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Q: 5х +1 f(2) = бх — 5 Show algebraically that the function is its own inverse.

A: Find the inverse of given function

Q: h(x) = x2 – 4. Is h1 a function and why/why not? %3D No, the inverse function does not pass the…

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Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: f(x + Ax) - f(x) f'(x) = lim %3D Ax Ax-0 Differentiate: f(x) = x² + 4x - 3 CHOICES: (Just type ONLY…

A: Using given first principle of derivatives

Q: Example 3: Find the inverse of y=x+1, expressed as a function of x.

A: For finding the inverse function, we will replace x with y and y with x as follows

Q: (a) Find the domain of the functions f(x) = /(1 – x)(x – 3) and g(x) = ln(x – 2)(5 – x). Also…

A: We have given functions;

Q: a. Find the inverse of ƒ(x) = -x + 1. Graph the line y = -x + 1 together with the line y = x. At…

A: PART a.The given function is y = ƒ(x) = -x+1To find the inverse of this function we interchange x…

Q: 5-3х 5-2х Verify if f(x) = and g(x) = 2 are inverses.

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Q: The function f(x) = –4 Vx – I + 7 x > 1 has an inversef-'(x) defined on the domain x < 7. Find the…

A: Explained below

Q: The function f(x) = 5Vx + 9 + 1 x > -9 has an inverse f-'(x) defined on the domain x > 1. Find the…

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Q: 14. The function f(x) = |x+2 -3 has an inverse on which domain below? A. (-3,0) B. (-0,0] B. [-2, 0)…

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Q: Find the parameters a and b included in the linear function f(x) = a x + b so that f -1 (2) = 3 and…

A: Given that, fx= ax+b be a function such that f-12 =3 and  f-1-3=6then we have to find the value of…

Q: g(x) = f(x + 1) - 2 Two functions, f and g, are related by the given equation. Use the numerical…

A: Given that g(x) = f(x + 1) - 2 This means f(x) moves 1 unit left and 2 units down to produce g

Q: 3 x – 5. 5 Find the inverse of the function f(x) - f- (x) = - 1 Draw the functions f and f 5- -5 -4…

A: See the details solution in below

Q: fx) = 3r+ 4x-3 has an inverse g(x). Use g '(x) = 1 to find g '(-3). %3D S'g(x)) g'(-3)=

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Q: The inverse of function f(x) = x3 + 2 is а) f-1 (y) %3 (у - 2) 1/2 b) f-1 (y) = (y – 2) 1/3 c) f-1…

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Q: what is the inverse function of   y = 5 (0.5-x )

A: Given ,  y = 5(0.5-x) = 5(1/0.5x) y = 5(2x) Interchange x and y  x = 5(2y)  (x/5) = 2y

Q: 2-7x Find the inverse function of f(x)= 9-5x 9-5x O a. 2-7x 9x +2 O b.f(x)= 5x +7 Oc.f(x) = %3D 5-…

A: Write f(x)=y, then switch x and y. f(x)=2-7x9-5xy=2-7x9-5xx=2-7y9-5y

Q: Determine the inverse of the function: f(x) = 3x         2x-5

A: We have to determine the inverse of the function.

Q: 16) The function f (x) = 2vx - 3 – 7, for x 2 3, has an inverse, f-1(x) defined on the domain x 2…

A: Given: f(x)=2x-3-7 for x≥3

Q: f(x) = , f (x) = , "(x) = 2-0) X-2 %3D 4-X 2(x-6) f" (x) %3D x3 x4

A: I think by giving the 3 function you mean to find the increasing and decreasing nature of the…

Q: F(x) = 3x-5 Inverse of the function F^-1(x)

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Q: 5x+7 What is the inverse function of f(x) X- 3 7-3х f-1(x) = - х-5 7x-5 B B f(x) : 3+ x 7+3x f-l(x)…

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Q: Evaluate the function at the indicated values.

A: Find f(-2) as follows: f-2=2-2-1          =2-3          =2· 3          =6

Q: 5-3х, What is the inverse of the function c(x) = 3-х 3-х O c(x) = 5-3X 1-2x ® c-(x) =-x O c-(x) =…

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Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: 7x +10 The inverse function of f(x) is f (2) = %3D 9x +11 O -10 - 11a 7-9x 10 11x 9x - 7 10 + 11x…

A: For the function f(x)=ax+bcx+d, x≠-dc To find inverse, let f(x)=y…

Q: 2r-1 ind the inverse of function / (x )= and its domain and range. x +5

A: Suppose that the given function is written in the form of f(x)=2x−1x+5 To find the inverse…

Q: b) Using the transformation function above, g(x) = -;f(x – 1)+7, transform and graph the function…

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Q: 3. Find the inverse function f-(x) for the function f (x) = 5 - 17x + 2 Also find the domain of the…

A: The given function is fx=5-7x+2.

Q: How does a domain restriction placed on a non-invertible function affect its inverse? Drag a…

A: The solution of the problem is given in the next step.

Q: x - 1 Find the inverse of f(x) - 5x + 3 - f'(x) = - %3D

A: Here we have to find the Inverse of the given function. Let f(x)=y, then find an expression for x in…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: