Final answer:
To find g((5)/(q)), substitute x with (5)/(q) in the function g(x) = x²-6x+2, which simplifies to (25/q²) - (30/q) + 2.
Step-by-step explanation:
To evaluate g((5)/(q)) where g(x) = x²-6x+2, we simply substitute x with (5)/(q) in the function.
So g((5)/(q)) becomes:
- ((5)/(q))² - 6((5)/(q)) + 2
- (25/q²) - (30/q) + 2
This simplifies the expression for the given function g(x). Now by following the order of operations, we square (5)/(q), multiply by -6, and then add 2.