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 * - 13)`

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

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

`\qquad \tt \dashrightarrow \:91`