QuestionFind the function $g$ that reflects $f(x)=-5x+2$ in the $x$ -axis. What is $g(x)$ ?

Studdy Solution

STEP 1

Assumptions1. The original function is $f(x)=-5x+$ . We are asked to find a function $g(x)$ that is the reflection of $f(x)$ in the x-axis

STEP 2

The reflection of a function in the x-axis is achieved by changing the sign of the function.If $f(x)$ is the original function, then the reflected function $g(x)$ is given by $g(x) = -f(x)$

STEP 3

Now, we substitute the given function $f(x)=-5x+2$ into the formula.
$g(x) = -(-5x+2)$

STEP 4

implify the expression by distributing the negative sign.
$g(x) =x-2$ So, the reflected function is $g(x)=x-2$ .

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