Question

The functions fx) and g(x) are shown on the graph. f(x) = x2 What is g(x)?

Answer 1

As you can see $g(x)$ has bigger curve and it passes through point $A(2,8)$

So the function is $\boxed{g(x)=x^3}$ which means if we plug in the coordinates of point A it would be $8=2^3$ which is correct.

Hope this helps.

r3t40

Answer 2

Answer with explanation:

The two function which are shown on the graph

      $f(x)=x^2$

We have to find g(x).

It is given that, when x=2, y=8.The curve g(x) Passes through Origin.

→x=2

Cubing both sides

$x^3=8\\\\x^3=y----\text{Using Substitution Property}}$

So, g(x)=x³

This is equation of Required curve.