Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Mar 04, 2024

Find the value of $x$ when $-x-4=9$ .

STEP 1

Assumptions
1. The function is given by $h(x) = -x - 4$ .
2. We need to find the value of $x$ when $h(x) = 9$ .

STEP 2

To find the value of $x$ when $h(x) = 9$ , we set the function equal to 9 and solve for $x$ .
$h(x) = 9$

STEP 3

Substitute the expression for $h(x)$ into the equation.
$-x - 4 = 9$

STEP 4

Add 4 to both sides of the equation to isolate terms with $x$ on one side.
$-x - 4 + 4 = 9 + 4$

STEP 5

Simplify both sides of the equation.
$-x = 13$

STEP 6

Multiply both sides of the equation by $-1$ to solve for $x$ .
$-1 \cdot (-x) = -1 \cdot 13$

STEP 7

Simplify both sides of the equation to find the value of $x$ .
$x = -13$
The solution for $x$ when $h(x) = 9$ is $x = -13$ .

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