Letℎ()h(x)be the inverse of()f(x). Ifℎ()=−4+1h(x)=−4x+1, which of the following represents()f(x)?


In order to find f(x), we need to calculate the inverse of h(x)
[tex]h(x)=-4x+1[/tex]y=h(x)
[tex]y=-4x+1[/tex]We substitute x with y and y with x
[tex]x=-4y+1[/tex]Then we isolate the y
[tex]4y=-x+1[/tex][tex]y=-\frac{1}{4}x+\frac{1}{4}[/tex]ANSWER
f(x) is
[tex]f(x)=-\frac{1}{4}x+\frac{1}{4}[/tex]The correct choice is the first one