What is the inverse function of $f(x) =1/4x+7$ ?

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Answer 1 · 2015-07-01T23:03:55

$f^-1(y) = 4(y-7)$ is the inverse function.

Let $y = f(x) = 1/4x+7$

Subtract $7$ from both ends to get:

$y - 7 = 1/4x$

Multiply both sides by $4$ to get:

$4(y-7) = x$

So $f^-1(y) = 4(y-7)$ is the inverse.

What is the inverse function of f(x) =1/4x+7f(x) =1/4x+7?