Question

The functions f and g are defined as follows.

f(x) = 2x²+2
g(x) = 3x-3
Find f(-2) and g(-3). Simplify your answers as much as possible.
a) f(-2) = 2, g(-3) = -12
b) f(-2) = 8, g(-3) = 6
c) f(-2) = 0, g(-3) = -12
d) f(-2) = -12, g(-3) = 0

Answer 1

To find f(-2) and g(-3), plug -2 into the function f(x) and -3 into g(x), and simplify: f(-2) equals 10 and g(-3) equals -12.

Step-by-step explanation:

To find f(-2) and g(-3), we need to substitute x with -2 in the function f(x) and x with -3 in the function g(x), and then simplify the results.

For the function f(x) = 2x²+2:

• f(-2) = 2(-2)² + 2
• f(-2) = 2(4) + 2
• f(-2) = 8 + 2
• f(-2) = 10

For the function g(x) = 3x-3:

• g(-3) = 3(-3) - 3
• g(-3) = -9 - 3
• g(-3) = -12

Therefore, the correct answers are f(-2) = 10 and g(-3) = -12.