For this case we have the following functions:
[tex]f (x) = x ^ 2 + 5\\g (x) = 2x ^ 3-1[/tex]
By definition of composition of functions we have:
[tex](f / g) (x) = \frac {f (x)} {g (x)}[/tex]
Then substituting:
[tex]f (-3) = (- 3) ^ 2 + 5 = 9 + 5 = 14\\g (-3) = 2 (-3) ^ 3-1 = 2 (-27) -1 = -54-1 = -55[/tex]
So:
[tex](f / g) (- 3) = \frac {14} {- 55} = - 0.25[/tex]
Answer:
[tex](f / g) (- 3) = \frac {14} {- 55} = - 0.25[/tex]
