Given f(x), find g(x) and h(x) such that f(x)=g(h(x)) and neither g(x) nor h(x) is solely x. f(x)=3/−4x−5

Answer 1

When entering a question that has a fraction in it, you must use grouping symbols to be clear about the value.

If this value for f(x) = 3/(-4x - 5), then h(x) = -4x - 5 and g(x) = 3/x. (Putting h INTO g gives f.)

But if f(x) = (3/-4x) - 5, then h(x) = 3/-4x and g(x) = x - 5. (Putting h INTO g gives f.)

But if f(x) = (3/-4)(x - 5), then h(x) = x - 5 and g(x) = (3/-4) x. (Putting h INTO g gives f.)

These are very different answers depending on what the question is really asking.