Question

F(x)=2x-3 and g(x)=x^2+1, find g(f(x))

Answer 1

f(x)=2x-3, substitute the expression for g(x) in f(x)

f(x) = 2(x^2 + 1) - 3

f(x) = 2x^2 + 2 - 3

f(x) = 2x^2 - 1