Please help me out thank you!!

g(2) means plug in x = 2 into the function g(x) = |-2x + 4| and f(-1) means plug x = -1 into f(x) = 3x - 1.

That will give you two numbers that you can then use to calculate g(2) - f(-1)

see explanation

Step-by-step explanation:

(1)

f(g(x))

Substitute x = g(x) into f(x)

f(3x + 1)

= 2(3x + 1) + 4

= 6x + 2 + 4

= 6x + 6

(2)

Evaluate f(2) then substitute the value obtained into g(x)

f(2) = 2x + 4 = 2(2) + 4 = 4 + 4 = 8 , then

g(8) = 3x + 1 = 3(8) + 1 = 24 + 1 = 25

(3)

(g ￮ f )(x)

= g(f(x))

= g(2x + 4)

= 3(2x + 4) + 1

= 6x + 12 + 1

= 6x + 13