Question

The graph of a function g is shown below. Find the following:
g(x/3) if g(x)=7

Answer 1

`g\left((x)/(3)\right)=g(2)=6`

Explanation:

The diagram shows the graph of the function g(x).

If g(x) = 7, then draw horizontal line y = 7. This line intersects the graph at some point, draw the vertical line which passes through this point. This line intersects the x-axis at point x = 6.

So, g(6) = 7.

If x = 6, then

`(x)/(3)=(6)/(3)=2`

To find g(2), draw vertical line x = 2. This line intersects the graph at some point, draw the horizontal line which passes through this point. This line intersects the y-axis at point y = 6. So,

`g\left((x)/(3)\right)=g(2)=6`