Question

Given that g(t)=t2-t And f(x) =1+x
Find g(f(0)) + f(g(0))

Answer 1

The correct answer is 1

Step-by-step explanation:

The composite function g(f(x)) will be given by;

(1+x)^2 -(1+x)

Substituting x with zero yields g(f(0)) =0.

On the other hand, the composite function f(g(t)) will be given by;

1+t^2-t

Substituting t with zero yields f(g(0)) =1

Finally, g(f(0)) + f(g(0)) =0+1 = 1.