Question

Given f(x)=2x-3 and g(x)=x^2-8a. Find f(g(2))b. Find g(f(x))

Answer 1

Given f(x)=2x-3 and g(x)=x²-8

a. Find f(g(2))

g(2)= 2²-8

g(2) = 4-8

g(2) = -4

f(-4) = 2*(-4)-3

f(-4) = -8-3 =-11

f(g(2)) = -11

b. Find g(f(x))

g(2x-3) = (2x-3)²-8

g(2x-3) = 4x²-12x+9-8

g(2x-3) = 4x²-12x+1

g(f(x)) = 4x²-12x+1