Question

F(x) = x-5

g(x) = x^2 – 12/ x^2 +4
Write g(f(x)) as an expression in terms of x.

Answer 1

g(f(x)) =1 - (12/(x^2-10x+25) +4

Explanation:

f(x) = x-5

g(x) = x^2 – 12/ x^2 +4

g(x) = 1– 12/ x^2 +4

so we have:

g(f(x)) = 1 -12/(x-5)^2 +4

g(f(x)) =1 - (12/x^2-10x+25) +4