To find the values of f(x) and g(x) at different inputs, you need to substitute the given input values into the given functions.
a) To find f(-1), substitute -1 into the function f(x) = 3x - 2:
f(-1) = 3(-1) - 2
= -3 - 2
= -5
Therefore, f(-1) = -5.
b) To find g(-3), substitute -3 into the function g(x) = 4x^2 + 5:
g(-3) = 4(-3)^2 + 5
= 4(9) + 5
= 36 + 5
= 41
Therefore, g(-3) = 41.
c) To find f(5) - g(2), first substitute 5 into the function f(x) = 3x - 2:
f(5) = 3(5) - 2
= 15 - 2
= 13
Then, substitute 2 into the function g(x) = 4x^2 + 5:
g(2) = 4(2)^2 + 5
= 4(4) + 5
= 16 + 5
= 21
Finally, subtract g(2) from f(5):
f(5) - g(2) = 13 - 21
= -8
Therefore, f(5) - g(2) = -8.