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) (1+ x) (2а + 5) (1 – 2) (1 – x) (0

Q: 1 8. Suppose f(x) = x+2 and g(x) = Ꮖ (a) (6 points) Find f(g(x)) and simplify completely. SHOW ALL…

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Q: Find the inverse function

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Q: 2. Which shows that f(x) = 5x² -2 and f-¹(x)=√√2 are inverse functions? O522 -2= *52…

A: If f(x) and f -1(x) are inverse functions then  (f∘f -1)(x)=(f -1∘f)(x)

Q: Find the inverse of y = x2 – 4x + 12 ; x > 2

A: To find the inverse, we need to find x from the equation.  For checking,  f(g(x))= g(f(x))= x

Q: 3 3 (5) For the functions f(x) and g(x) = -+ 4, find f(g(x)) and g(f(x)), hence or X- 4 otherwise…

A: Given that     f(x) = 3/(x-4) and g(x) = (3/x)+4 We have to find f(g(x)) and g(f(x)). Also determine…

Q: 1. Let f(x) = x? – 1 and g(x) = x² +x – 6. (a) Find (f – 9)(x) (b) Find (x) and give its domain. (c)…

A: R is the set of all real numbers

Q: The function f-1 is an inverse function of ƒ if f(ƒ −¹(x)) = f−¹(f(x)). To verify, consider f(x) =…

A: given f(x)=5x-8 and

Q: Find inverses if it exists how?

A: We need to find inverse function.

Q: The inverse function of f(x) = = -7x+3 12 is

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Q: Let f(x) = 4+ (5x +9)³. Find f¹(x) = (1) · (√(x − 4) – 9) Find (ƒ(2)) -¹ = (¹) · (√(x-4) – 9)

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Q: 3. Find the rule for the inverse of f(x) = X +1

A: Inverse of functions is given.

Q: 2 + Assume that the function y = f (x) = 7x ,x e (0 , 0 ) has an inverse. A formula for y = f1(x) is…

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Q: Q2: If f(x) Vx and g(x) 1+x find the inverse of (gof)(x)

A: Consider the provided function, fx=x  and gx=1+x Find the inverse of g∘fx. First, we find the…

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

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Q: 1 Let f(x) = x²-3x+2, g(x) = and h(x)=√1-x. Find f( - 6), g(-6), h(-6), h(a), and h(-x).

A: Let's evaluate the functions step by step. Given Functions 1.f(x)=x2−3x+2 2.g(x)=x​1​ 3.h(x)=1−x​…

Q: 1. Find the inverse of the following functions and its domain and range. (9) x + 7 a)f(x) = - 8 - 5x…

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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: 5. Use composition to show that the functions k and m are inverse functions using the fact that…

A: We have to solve the problem

Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

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

A: Given that fx=2x+8,gx=x2+2x-8 and hx=3x-6To find :f-gxSolution :f-gx=fx-gx=2x+8-x2+2x-8…

Q: find the inverse of the function f(x) = 2x +3/x-4

A: Given query is to find the inverse of f(x).

Q: 2² – 7x + 12 Explain why f(x) = x – 4 is not the identical function of g(x) :

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Q: For #'s 11 – 14 , h(x) = (ƒ og)(x) Let h(x)= (5x+1)* - (5x +1) and S(x) = x² – x, find g(x) Let h(x)…

A: Given: hx=fgx Q 13: hx=5x+12-5x+1 fx=x2-x Now, As per question hx=fgx=gx2-gx Or gx2-gx=5x+12-5x+1 On…

Q: Which equation is the inverse of f (x) = 3x + 4? Af(x) = 4x – 3 1 4 f (x) = 3 B 3 Of (x) = 3x – 4 1…

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Q: Find the inverse of f (x) = Vx+ 3 – 2. Of1 (x) = a – 6x² + 12x – 6 Of (x) = -2³ – 3 O 1 (x) = (x +…

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Q: Determine algebraically if f(x) = 5x - 4 and g(x) = x + 4/ 5 are inverses(state your conclusion

A: Given function - f(x) = 5x-4To find the inverse of f(x), we have to calculate the above equation for…

Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

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Q: The following table gives the number I = I(t), in millions, of adult Americans with Internet access…

A: here we can use table to solve this question.

Q: 11. If f(x)= -x² +2x +10 and g(x) = 4x – 1, then: a) (gof)(x) = b) (gof)(-3) = %3D c) (fg)(-1)= %3D

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Q: Find the inverse of f(x) = 15x – 10. a. f-1(x) = (x – 10)/15 b. f-1(x)…

A: Given,  f(x)=15x-10

Q: Let f(x) — За — 1, g(х) 1, g(x) x + 2, and - h(x) 3x + 4. Perform the indicated operation. (Simplify…

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Q: Which pair of functions are inverses of each other? Of (x) = 3x + 5 & g(x) = 5x + 3 Of (x) = x-4 2a…

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Q: 1) g(x) = 4x+16 S FO

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Q: Find the linear inverse algebraically. (1 Point) f (x) = 3x – 4 O f-l f-l (x) = x-4 3 O f-l (x) =…

A: Given that, f(x) = 3x - 4 We have to find the linear inverse of given function f(x).