Final answer:
The correct equation for the function f(x) = 5x + 6 after it is reflected over the x-axis is f(x) = -5x - 6.
Step-by-step explanation:
To determine the new equation of the function f(x) = 5x + 6 when it is reflected over the x-axis, we need to change the sign of the y values of the function. Reflecting a function over the x-axis inverts the sign of the output of the function, i.e., if f(x) is the original function, then the reflected function will be -f(x).
If we apply this to the given function f(x) = 5x + 6, by changing the sign of the entire function, we get the reflected function as f(x) = -5x - 6.
Therefore, the correct answer to the question 'Given the function f(x) = 5x + 6, what would the new equation be if it was reflected over the x-axis?' is option (d) f(x) = -5x - 6.