The function f(x) = 10 represents a horizontal line on the Cartesian plane, where the value of y is constant at 10, no matter what value x takes. This is because the output of the function does not depend on the input variable x.
When you shift this graph 8 units to the right, you are essentially moving every point on the line (x, 10) to the point (x + 8, 10). However, since f(x) is a constant function, the value of the function does not change with x, so the equation of the function remains the same after the horizontal shift.
Therefore, the equation of g(x), which is the result of shifting f(x) = 10 by 8 units to the right, is still g(x) = 10. This is because shifting a horizontal line left or right does not affect its height (y-value), which remains constant.
In a more general sense, if f(x) were not a constant function, shifting it to the right by 8 units would involve replacing every occurrence of x with (x - 8) in the function. But for our specific case of a constant function, this shift does not change the function's equation.
So, the answer is:
g(x) = 10
