Question2. $f(x)=10 x+2 \quad g(x)=-6 x-8$ Find $h(x)=f(x)+g(x)$ .

Studdy Solution

STEP 1

1. We have two functions, $f(x) = 10x + 2$ and $g(x) = -6x - 8$ .
2. We need to find the function $h(x)$ which is the sum of $f(x)$ and $g(x)$ .

STEP 2

1. Express $h(x)$ as the sum of $f(x)$ and $g(x)$ .
2. Combine like terms to simplify $h(x)$ .

STEP 3

Express $h(x)$ as the sum of $f(x)$ and $g(x)$ :
$h(x) = f(x) + g(x)$ $h(x) = (10x + 2) + (-6x - 8)$

STEP 4

Combine like terms to simplify $h(x)$ :
First, combine the $x$ -terms:
$10x + (-6x) = 4x$
Next, combine the constant terms:
$2 + (-8) = -6$
Thus, the simplified form of $h(x)$ is:
$h(x) = 4x - 6$
The function $h(x)$ is $\boxed{4x - 6}$ .

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