Question

If f (x) = -9x - 9 and g (x) = Vx - 9, what is (f ° g) (10)?

Answer 1

Answer:
`(f \circ g) (10)= -18\ .`

Explanation:

Given:
`f (x) = -9x - 9` and
`g (x) = √(x - 9)`

To find : (f o g) (10)

For this we first find (f o g) (x)=
`f(g(x))`

`=f(√(x-9))\\\\=-9(√(x-9))-9`

Now,

`(f \circ g) (10)=-9(√(10-9))-9\\\\=-9√(1)-9\\\\=-9-9=-18`

Hence, the value of
`(f \circ g) (10)= -18\ .`