Question

what is the inverse of the function $f(x)=2x - 10$? $h(x)=\frac{1}{2}x + 5$; $h(x)=\frac{1}{2}x - 5$; $h(x)=2x + 5$; $h(x)=2x - 5$

Explanation:

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

$y = 2x - 10$

Step2: Swap $x$ and $y$

$x = 2y - 10$

Step3: Solve for $y$, isolate term with $y$

$2y = x + 10$

Step4: Solve for $y$, divide by 2

$y = \frac{1}{2}x + 5$

Answer:

$h(x) = \frac{1}{2}x + 5$