Question

Let f(x) = x2 + 6 and g(x) = x + 8x g ( x ) = x + 8/ x . Find ( g o f)(­ -7)

Question 17 options: 63 /55 295 /49 384/ 7 -57/ 7

Answer 1

63/55

Explanation:

Assuming
`f(x) = x^2+6` and
`g(x) = x + {8}{x}`. Find ( g o f)(­ -7) by substituting f into g. Then -7 into the new expression.

( g o f)(­ -7) =

`((x^2+6) +8)/(x^2+6) \\\\ (((-7)^2+6) + 8)/((-7)^2+6) \\\\ (49+6+8)/(49+6)\\\\ (55 + 8)/(55) \\\\(63)/(55)`