Question

algebra 1a - essentials (15997)
uating functions
which represents the inverse of the function $f(x) = 4x$?
$h(x) = x - 4$
$h(x) = \frac{3}{4}x$
$h(x) = x + 4$
$h(x) = \frac{1}{4}x$

Explanation:

Step1: Replace $f(x)$ with $y$

$y = 4x$

Step2: Swap $x$ and $y$

$x = 4y$

Step3: Solve for $y$

$y = \frac{1}{4}x$

Step4: Rename $y$ as inverse function

$h(x) = \frac{1}{4}x$

Answer:

$h(x) = \frac{1}{4}x$