QuestionFind the expression for $f(x+3)$ if $f(x) = 3x - 5$ .

Studdy Solution

STEP 1

Assumptions1. The function is $f(x) =3x -5$ . We need to find the expression for $f(x+3)$

STEP 2

To find the expression for $f(x+)$ , we need to replace every instance of $x$ in the function $f(x)$ with $(x+)$ .
$f(x+) =(x+) -5$

STEP 3

Next, we need to distribute the3 to both $x$ and3 in the parenthesis.
$f(x+3) =3x +9 -5$

STEP 4

Finally, we simplify the expression by combining like terms.
$f(x+3) =3x +4$ So, the expression for $f(x+3)$ is $3x +4$ .

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