Question

Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?

Answer 1

g(x) = √(2x)

Explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we substitute x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x