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

Answer:

(24,18).

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:

$f(\frac{1}{2}x)=\frac{x}{2}+6$

When x=24

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

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