Answered

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

Letℎhxbe The Inverse Offx Ifℎ41hx4x1 Which Of The Following Representsfx class=
Letℎhxbe The Inverse Offx Ifℎ41hx4x1 Which Of The Following Representsfx class=

Sagot :

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

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