Question

the inverse of the function $f(x) = \frac{1}{2}x + 10$ is shown.
$h(x) = 2x - \square$
what is the missing value?
\bigcirc 1
\bigcirc 5
\bigcirc 10
\bigcirc 20

Explanation:

Step1: Find inverse of \( f(x) \)

Let \( y = f(x) = \frac{1}{2}x + 10 \). Swap \( x \) and \( y \): \( x = \frac{1}{2}y + 10 \).

Step2: Solve for \( y \)

Subtract 10: \( x - 10 = \frac{1}{2}y \). Multiply by 2: \( y = 2x - 20 \). So inverse \( h(x) = 2x - 20 \), missing value is 20.

Answer:

20