Question

G(x)=12x-12 and f(x)=(x+12)/12. What is the g(f(x))

Answer 1

g(f(x)) = x

Explanation:

`g(x)=12x-12,\ f(x)=(x+12)/(12)\\\\g\bigg(f(x)\bigg)-\text{Exchange}\ x\ \text{in}\ g (x)\ \text{to the expression}\ (x+12)/(12):\\\\ g\bigg(f(x)\bigg)=g\left((x+12)/(12)\right)=12\!\!\!\!\!\diagup^1\cdot(x+12)/(12\!\!\!\!\!\diagup_1)-12=x+12-12=x`