# 3 sqrt(x) = 6

g(x) = 2x/3

Are you solving the first one?

If so,....

3√x = 6
√x = 2

square both sides and you are done.

I don't know what you want done with g(x) = 2x/3

## ".. for the 2nd one i'm not really sure how that is supposed to be solved.

"

Precisely my point.
You stated a function

g(x) = 2x/3 or
y = 2x/3

You can do several things with that:
1. graph it, it will be straight line
2. state the properties of the the resulting straight line
3. list a set of ordered pairs that satisfy the equation, (those are solutions, there would be an infinite number of correct solutions)

Since you did not specify what you want, I cannot help you with that part.

## The second one merely states what the g(x) function IS. Plug in any x and calculate the corresponding g.

If you know g and want to know what x is, then
x = 3g/2

## To solve the equation 3√(x) = 6, we need to isolate the variable x. Here's how you do it:

Step 1: Square both sides of the equation to eliminate the cube root:
(3√(x))^2 = 6^2
9x = 36

Step 2: Divide both sides of the equation by 9 to solve for x:
9x/9 = 36/9
x = 4

Thus, the solution to the equation 3√(x) = 6 is x = 4.

Now, let's move on to the second part of your question about the function g(x) = 2x/3.

The function g(x) = 2x/3 represents a linear equation where the value of g(x) is equal to 2/3 times the input value x. Here's how you can use this function:

Let's say you have a specific value for x, such as x = 6. To find the corresponding value of g(x), substitute the value of x into the equation:

g(6) = 2(6)/3
g(6) = 12/3
g(6) = 4

Therefore, when x = 6, g(x) = 4.

This process can be repeated for any other value of x to find the corresponding value of g(x).