Question

F ( x ) = x 2 + 6 x and g ( x ) = x − 8 , calculate. f ( g ( − 5 ) ) =

Answer 1

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's solve ~

First we have to calculate g (-5) :

$\qquad \tt \dashrightarrow \:x - 8$

$\qquad \tt \dashrightarrow \: - 5 - 8$

$\qquad \tt \dashrightarrow \: - 13$

Now, let's find f (g (-5)) :

$\qquad \tt \dashrightarrow \: {x}^{2} + 6x$

$\qquad \tt \dashrightarrow \:( - 13) {}^{2} + (6 \times - 13)$

$\qquad \tt \dashrightarrow \:169 + ( - 78)$

$\qquad \tt \dashrightarrow \:169 - 78$

$\qquad \tt \dashrightarrow \:91$