Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
