Question

If f(x)=x²-3 and g(x) = 4-2x, determine the values for the following:

1. g(-1/2)
2. f(-4)
3. f(0)

Answer 1

To find the values for g(-1/2), f(-4), and f(0), we substitute the given x-values into the functions g(x) and f(x). The calculations result in g(-1/2) = 5, f(-4) = 13, and f(0) = -3.

Step-by-step explanation:

To determine the values for the functions f(x) and g(x) at given points, we will substitute the x-values into the respective functions and perform the arithmetic.

1. g(-1/2): To find g(-1/2), substitute -1/2 for x in the function g(x) = 4 - 2x. This yields g(-1/2) = 4 - 2(-1/2) = 4 + 1 = 5.
2. f(-4): Similarly, for f(-4), substitute -4 for x in f(x) = x² - 3. This gives f(-4) = (-4)² - 3 = 16 - 3 = 13.
3. f(0): Finally, for f(0), substitute 0 for x in f(x). This results in f(0) = (0)² - 3 = 0 - 3 = -3.