Assuming you meant to type h(x)=-4x+1
Answer:
[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]
Step-by-step explanation:
We know that, because [tex]h(x)[/tex] is the inverse of [tex]f(x)[/tex], that [tex]h(f(x))=x[/tex], so [tex]-4f(x)+1=x[/tex].
Aha! We can solve for [tex]f(x)[/tex]!
We subtract [tex]1[/tex] from both sides to get [tex]-4f(x)=x-1[/tex].
Finally, we divide both sides by [tex]-4[/tex] to get [tex]\boxed{f(x)=-\frac{1}{4}x+\frac{1}{4}}[/tex].
