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

Find g (f (0)) + f (g (0))

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.