## Calculus 8th Edition

$$g(x)=4x-17$$
To find $g$ such that $g \circ f=h$, we have$$g(f(x))=h(x) \quad \Rightarrow \quad g(x+4)=4x-1$$ $$\Rightarrow \quad g(x+4)=4(x+4)-17$$ $$\Rightarrow \quad g(x)=4x-17.$$