Respuesta :

[tex]g(x)=\sqrt[3]{x+2}[/tex]Explanation

given the pattern function f(x)

[tex]y=\sqrt[3]{x}[/tex]

Step 1

now, let's check the functiona obtained after a transformation , it is g(x)

we can see that g(x) is 2 units to the left of f(x)

it measn f(x) was shifted 2 units to left to obtain g(X)

now, shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right

so, for this case, we have to add 2 units

hence,the answer is

[tex]g(x)=\sqrt[3]{x+2}[/tex]

so, the answer is

[tex]g(x)=\sqrt[3]{x+2}[/tex]

I hope this helps you