Final answer:
To find the value of x when h(x) equals -6, we follow the steps: h(x) = x/3 - 9 = -6, solve for x to get x/3 = 3, and then multiply by 3 to find that x equals 9.
Step-by-step explanation:
To find x, set the function h(x) equal to -6 and solve for x:
h(x) = x/3 - 9
= -6
First, add 9 to both sides of the equation to isolate the term with x on one side:
x/3 = -6 + 9
x/3 = 3
Then, multiply both sides of the equation by 3 to solve for x:
x = 3 × 3
x = 9
Therefore, the value of x when h(x) = -6 is 9.