Question

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

a.63/55

b.259/49

c.-57/7

d.384/7

Answer 1

A

Explanation:

A function composition is where one function is substituted within another function and is written g(f(x)). Here we will substitute f(x) into g(x). For g(f(-7)), we substitute -7 for x.

`(x^2+6+8)/(x^2+6)`

Now substitute -7 for x.

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