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.