Question

Given that f(x)=9x-8 and g(x)=1-x^2, calculate

f(g(o))=
g(f(0))=

Answer 1

f(g(0))=1

g(f(0))=-63

Explanation:

g(0) = 1-0^2 = 1-0 = 1

f(0)= 9(0)-8 = 0-8 = -8

So g(0)= 1 and f(0)= -8

f(g(0))= 9(1)-8 = 9-8 = 1

g(f(0))= 1-(-8)^2 = 1-64 = -63

So you have to solve for g(0) first and then those results will let you find f(g(0)) which is just g(0) plugged in for x and vice versa.