Question

How do you: Use f(x) = 3x -5 and g(x) = 2 - x^2 to evaluate the following expressions:
1. (a) f(g(0)) (b) g(f(0))

2. (a) (f ` g) (-2) (b) g(g(3))

Answer 1

I will do one of them as an example for you, tell me which one?

Answer 2

1 b

Answer 3

For 1.b part, you need to find f(0) first.

f(x) = 3x - 5
f(0) = -5
\[g(x) = 2-x^2 = g(fx) = 2 - (f(x))^2\]
g(f(0)) = g(-5) = \(2 - (-5)^2 = 2 - 25 = -23\)

Answer 4

why does f(0)= -5?

Answer 5

f(x) = 3x - 5
f(0) = 3*0 - 5