Verify that f and g are inverse functions algebraically. f(x) = x²³₁ g(x) = 4x 4 f(g(x)) = g(f(x)) = g =

Q: Show that the function y = f (x) =-2x +4 is one-to-one and find its inverse function.

A: Here function  fx=-2x+4

Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions f(x) = 4x and g(x) =x/4 are…

A: f(x) = 4x and g(x) =x/4 We need to Find f(g(x)) and g( f(x)) and determine whether each pair of…

Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 3x + 8 and g(x) =(x -…

A: Consider the given functions are, f(x)=3x+8g(x)=x-83 Now the first step is to find the value of…

Q: Find the inverse function of  f(x) =  x − 2 3x + 3

A:

Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 3x - 7 and g(x) =(x +…

A: Given:fx=3x-7gx=x+37To find:fgx=?gfx=?

Q: Find f(g(x)) and g( f(x)) and determine whether each pair of functions ,f(x) = 5x - 9 and g(x) =(x +…

A: Given: fx=5x-9, gx=x+59 for finding fgx, we put gx in place of x in given fx so,…