Question

Given h(x)=-x-4h(x)=−x−4, solve for xx when h(x)=9h(x)=9.

Answer 1

Answer:

$x=-5$

Step-by-step explanation:

Given $h(x)=-x-4$, solve for x when $h(x)=9h(x)=9$.

First we need to figure out what number multiplied by 9 is equal to 9. This number is 1. $(1*9=9)$

Therefore, we know that h(x) should be equal to 1 in order for 9 times h(x) to equal 9.

Create an equation where h(x) = 1.

• $h(x)=1 \\ (-x-4)=1$

Solve this equation by adding 4 to both sides of the equation.

• $-x=5$

Divide both sides of the equation by -1 to isolate x.

• $x=-5$

Check your answer by substituting -5 for x back into the equation to make sure h(x) = 1.

• $-(-5) - 4 = 1$

If $h(x)=1$, then the statement  $9h(x) =9$ is true, verifying our answer for x is correct.