Respuesta :

r3t40

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

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

Hope this helps.

r3t40

Answer with explanation:

The two function which are shown on the graph

      [tex]f(x)=x^2[/tex]

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

[tex]x^3=8\\\\x^3=y----\text{Using Substitution Property}}[/tex]

So, g(x)=x³

This is equation of Required curve.

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