Question

could someone please please help me with my question?

Answer 1

let saifoo do it!

Answer 2

Let h(x)=xg(x), where g(x)=the inverse of f(x). Find h'(5) using the chart

x: 2, 3, 5
f(x): 4, 5, 1
f'(x): -1, 2, 3

Answer 3

h(x)=x * g(x)

Think of it in tables a certain x value gives you a certain f(x) value. 2 gives you 4, 3 gives you 5 etc.

x : 2 3 5
f(x): 4 5 1


x : 2 3 5
f'(x): -1 2 3

This table shows that when we plug in a certain x value we get a corresponding inverse function value f'(x).

Thus when x = 5, f'(x) = g(x) = 3 (they told us f'(x) = g(x)).

h(x) = x times g(x)

5 * 3 = 15

So the answer is h(x) = 15