Question

Assume the point (12,18) belongs to the function f(x), what point belongs to y= f(½x)?(12,9) (12,36) (6,18) (24,18)

Answer 1

(24,18).

Step-by-step explanation:

Given the point (12,18), a function that contains this point is:

`f(x)=x+6`

If we replace x with ½x, we have:

`f((1)/(2)x)=(x)/(2)+6`

When x=24

`\begin{gathered} f((1)/(2)x)=(24)/(2)+6 \\ =12+6 \\ =18 \end{gathered}`

The point that belongs to y= f(½x)​ is (24,18).