Question

The inverse of the function f(x) = one-half x plus 10 is shown.

h(x) = 2x-

What is the missing value?

1
5
10
20

Answer 1

To find the missing value in the function \( h(x) = 2x - ? \), we need to determine the inverse of the given function \( f(x) = \frac{1}{2}x + 10 \).

1. Start with the function:
\[
y = \frac{1}{2}x + 10
\]

2. To find the inverse, switch \( x \) and \( y \):
\[
x = \frac{1}{2}y + 10
\]

3. Solve for \( y \):
\[
x - 10 = \frac{1}{2}y
\]
\[
y = 2(x - 10) = 2x - 20
\]

Thus, the inverse function is:
\[
h(x) = 2x - 20
\]

Therefore, the missing value in the equation \( h(x) = 2x - ? \) is \( 20 \).

The answer is \( 20 \).