Question

If f(x) = -9x + 9 and g(x) = Vx+1,
what is (fºg)(24)?

Answer 1

To find (fºg)(24), substitute 24 into Vx in the function f(x) = -9x + 9.

Step-by-step explanation:

To find (f∘g)(24), we need to first find the composition of f and g. (f∘g)(x) is equal to f(g(x)), so we substitute g(x) into f(x). Since g(x) = Vx+1, we have f(g(x)) = f(Vx+1).

Substituting Vx+1 into f(x), we get f(Vx+1) = -9(Vx+1)+9.

Simplifying, we have f(Vx+1) = -9Vx-9+9 = -9Vx.

Now, to find (f∘g)(24), we substitute 24 into Vx. We get (f∘g)(24) = -9(24) = -216.