Answer:
g(x) is not the inverse of f(x)
Explanation:
If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)
We need to show that f(g(x)) = g(f(x))
f(g(x)) = f(5x+5)
f(5x+5) = 5(5x+5) - 25
f(5x+5) =25x+25 - 25
f(5x+5) = 25x
f(g(x)) = 25x
Similarly;
g(f(x)) = g(5x-25)
g(5x-25) = 5(5x-25) + 5
g(5x-25) = 25x - 125 + 5
g(5x-25) = 25x - 120
This shows that g(x) is not the inverse of f(x)