3 sqrt(x) = 6
g(x) = 2x/3
What is your question?
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
thanks, but for the 2nd one i'm not really sure how that is supposed to be solved.
".. 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).