Answer:
We have that:
[tex]g(x) = \frac{x^2 - 6}{3*x + 10}[/tex]
And we want to find the value of g(4)
Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.
If we do that, we get:
[tex]g(4) = \frac{4^2 - 6}{3*4 + 10}[/tex]
Now we can just solve this to get:
[tex]g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2} = 5[/tex]