Question

Help!!! Show work plz

Answer 1

Since,

$(fog)(x) = x$

The functions given are inverses of each other

Further explanation:

When two functions are inverses of each other their composition results in x

That is

$(fog)(x) = x$

Given functions are:

$f(x) = \frac{x+3}{2}\\g(x) = 2x-3$

Now,

$(fog)(x) =\frac{g(x)+3}{2}\\=\frac{(2x-3)+3}{2}\\=\frac{2x-3+3}{2}\\=\frac{2x}{2}\\=x$

Since,

$(fog)(x) = x$

The functions given are inverses of each other

Keywords: Functions, Inverse of Function

Learn more about functions at:

• brainly.com/question/10435816
• brainly.com/question/10435836

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