Question

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

Answer 1

Answer:

g(f(x)) = x

Step-by-step explanation:

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