Question5. $f(x)=3+3 x \quad g(x)=6+8 x$ Find $h(x)=f(x)+g(x)$ .

Studdy Solution

STEP 1

1. We are given two functions $f(x) = 3 + 3x$ and $g(x) = 6 + 8x$ .
2. We need to find a new function $h(x)$ which is the sum of $f(x)$ and $g(x)$ .

STEP 2

1. Write the expression for $h(x)$ as the sum of $f(x)$ and $g(x)$ .
2. Simplify the expression for $h(x)$ .

STEP 3

Write the expression for $h(x)$ as the sum of $f(x)$ and $g(x)$ :
$h(x) = f(x) + g(x)$ $h(x) = (3 + 3x) + (6 + 8x)$

STEP 4

Simplify the expression for $h(x)$ by combining like terms:
Combine the constant terms: $3 + 6 = 9$
Combine the $x$ -terms: $3x + 8x = 11x$
So, the simplified expression for $h(x)$ is:
$h(x) = 9 + 11x$
The function $h(x)$ is $\boxed{9 + 11x}$ .

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