2x 1. Given the functions: f(x) = log, x, g(x)= 5-x x²-9 k(x) = and j(x) =9- 3x, %3D %3D g(x+h)– g(x) a) Find and simplify the difference quotient b) Determine an expression in simplest form for (x) and state the domain. k c) Determine (fok)(x) and state its domain using interval notation.

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: Let g(x) = 4*+1-3. a. State the translations / transformations needed to graph g(x) from the basic…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: find the inverse function

A: The given function is,

Q: Q.5 Determine whether f and g are inverse functions when f(x)=Vx-2 and 8(x)=x² +2

A: Given function,y=f(x)=x-23g(x)=x3+2

Q: Given two functions f(x) = x² – 3x and g(x) : - = x + 13, find the following. a) f( – 2) + g( – 2)…

A:

Q: Let fx) - 2x-5 and let g(x)= 4x +1. Find the given value. flg(- 2) flg(- 2)] = (Type an integer or a…

A:

Q: 5/3 Find the inverse of f(x)= X

A: See attached file for a step by step explanation.

Q: The table below represents the inputs (x) and outputs [f(x), g(x), and h(x)] for three functions.…

A: Answer(a): Given that,  For function f(x), x-values and corresponding f(x) values. Write, these…

Q: ind the inverse function to y = f(x) = g(y) = = 4 - 6x 7 - 6x help (formulas

A: We are asked to find the inverse of the function

Q: Which pair of functions are inverses of each other? A. f(x) = + 15 and g(x) = 12x- 15 %3D %3D B.…

A: To find:- Need to check all given options f(x) and g(x) are inverse of each other or not

Q: The function f is defined by f (x) = -x³ + 3x² – 3x and f(2) =-2. If g is the inverse function of f,…

A:

Q: x - 3 2x + 5" 14. Find the inverse function of f(x) %3D

A: Given function is          f(x)=x-32x+5