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The function g(x) is g(x)= (3x)^2
<h3>How to solve for g(x)?</h3>The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
#SPJ1
Given function is
Now we have to find which inequality can be used to find the domain.
Given function is a square root function. We know that square root function is defined only for the positive values including 0. In other words expression inside the square root must be greater than or equal to 0.
In given problem, expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
which is same as your answer.
Hence your answer is correct.