If f(x) = 3x^2 and g(x) = √2x what is the value of (f o g)(8)?

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!

Option C.

Step-by-step explanation:

Consider the below figure attached with this question.

We need to find the input value when f(x)=g(x).

In the given graph red line represents the function f(x) and blue line represents the function g(x).

From the given graph it is cleat that both functions intersect each other at (1.5,1). It means

f(x) = 1 at x=1.5

g(x) = 1 at x=1.5

It means f(x)=g(x)=1 at x=1.5. For input value x=1.5 the statement f(x)=g(x) is true.

Therefore, the correct option is C.