Final answer:
To solve the given functions, we substitute the required values into each function. After calculation, f(4) equals 21 and g(−1) equals −10, which shows f(4) and g(−1) are not equal.
Step-by-step explanation:
The question involves finding the values of two functions f(x) and g(x) at specific points and comparing them. To find f(4), we substitute x with 4 in the function f(x) = 3x2 − 7x + 1, and similarly to find g(−1), we substitute x with −1 in the function g(x) = x2 + 2x − 9.
To calculate f(4):
- f(4) = 3(4)2 − 7(4) + 1
- f(4) = 3(16) − 28 + 1
- f(4) = 48 − 28 + 1
- f(4) = 20 + 1
- f(4) = 21
To calculate g(−1):
- g(−1) = (−1)2 + 2(−1) − 9
- g(−1) = 1 − 2 − 9
- g(−1) = −1 − 9
- g(−1) = −10
Comparing the results, we see that f(4) ≠ g(−1). Therefore, f(4) is not equal to g(−1).