1 Answer

Joenel De Asis · Answer 1 · 2021-09-28T03:46:30+0000

For this case we have the following functions:

$f (x) = 4x + 7\\g (x) = 3x-5$

We must find
$(g_ {o} f) (x).$ By definition of composition of functions we have to:

$(g_ {o} f) (x) = g (f (x))$

So:

$g (f (x)) = 3 (4x + 7) -5\\g (f (x)) = 12x + 21-5\\g (f (x)) = 12x + 16$

Finally we have to:

$(g_ {o} f) (x) = 12x + 16$

We evaluate at
x = -4:

$(g_ {o} f) (- 4) = 12 (-4) + 16 = -48 + 16 = -32$

Answer:

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