Question

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

Answer 1

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

Step-by-step explanation:

Given: $f (x) = -9x - 9$ and $g (x) = \sqrt{x - 9}$

To find : (f o g) (10)

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

$=f(\sqrt{x-9})\\\\=-9(\sqrt{x-9})-9$

Now,

$(f \circ g) (10)=-9(\sqrt{10-9})-9\\\\=-9\sqrt{1}-9\\\\=-9-9=-18$

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