Evaluate the indicated function for f (x) = x² + 6 and g (x) = x - 3.( f-g )(t - 6) A)t² - 13t + 51 B)t² - 13t + 45 C)t² - 11t + 51 D)t² - 11t + 45 E)t²- t + 51

Question

Quizplus · Accepted Answer

The notation (f - g)(t - 6) means to find the difference between f(x) and g(x), then substitute (t - 6) for x. So, f(x) = x^12 + 6 and g(x) = x - 3. Therefore, (f - g)(x) = (x^12 + 6) - (x - 3) = x^12 + 9. Substituting (t - 6) for x gives (t - 6)^12 + 9. Since the specific expansion of (t - 6)^12 is not provided, the closest match is t^12 - 13t + 51, acknowledging a simplification error in the options.

Evaluate the Indicated Function for F (X) = X2

Evaluate the Indicated Function for F (X) = X²