3 years ago

SOMEONE PLEASE HELP ME I NEED HELP ASAP

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

y+4=(5- -4)/(0-3) . (x-3) =>

y+4=-3(x-3)

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For the functions f(x) = x − 3 and g\left(x\right)=\frac{x+7}{2} g ( x ) = x + 7 2 , find [g∘f](x). Group of answer choices \fra

pychu [463]

Answer:

$\textbf{$g(f(x)) = \frac{2x + 1}{2}$ }\\$

Step-by-step explanation:

$$ f(x) = x - 3 $$$$ g(x) = x + \frac{7}{2} $$\textup{To compute g(f(x))}$ \implies g(f(x)) = g(x - 3) $\\\textup{i.e., to substitute $x - 3$ instead of x in g(x)}\\$ \therefore g(x - 3) = x - 3 + \frac{7}{2} $ \\\textup{Simplifying this we get:}\\\textbf{$$g(f(x)) = \frac{2x + 1}{2}$$}$