Question

If h(x)=(fog)(x) and h(x)=3(x+2)^2 find one possibility for f(x) and g(x)

Answer 1

B. f(x) = 3x^2

g(x) = x + 2

Explanation:

Answer 2

Answer: (c)
`f(x) = 3x^2\\g(x) = x + 2`

Explanation:

`h(x) = (f\circ g)(x)` is a composition of f and g, where g is plugged into the argument of f(x) in place of x. The result of this composition is given as h(x).

The choice (c) for f and g matches the results given because:

`f(x) = 3x^2\\g(x) = x + 2\\(f\circ g)(x)=f(g(x)) = 3(g(x))^2=3(x+2)^2=h(x)`