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QUESTION IMAGE

find g(x), where g(x) is the translation 9 units right of f(x) = x. wri…

Question

find g(x), where g(x) is the translation 9 units right of f(x) = x. write your answer in the form mx + b, where m and b are integers. g(x) =

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$, a translation $h$ units to the right gives $y=f(x - h)$. Here $h = 9$ and $f(x)=x$.

Step2: Substitute into rule

Substitute $x$ with $x - 9$ in $f(x)$. So $g(x)=f(x - 9)=(x - 9)$.

Answer:

$x-9$