Question

Write the transformed equation for 3g(x) calling it h(x)? g(x) = 1/3x+2

Answer 1

The transformed equation for 3g(x) is h(x) = x + 6.

Step-by-step explanation:

To find the transformed equation for h(x), which is written as 3g(x), we will substitute g(x) with its given value.

The original equation for g(x) is g(x) = (1/3)x + 2.

Now, replace g(x) with its value: h(x) = 3((1/3)x + 2).

Expanding the expression inside the parentheses, we get h(x) = x + 6.

Therefore, the transformed equation for 3g(x) is h(x) = x + 6.