Question

If f and g are inverse functions and the point (-3, 5) is on the graph of f, then the point ____ is on the graph of g

Answer 1

f(5) = -3

so,

g(-3) = 5

Since they are inverses, f(g(x)) = g(f(x)) = x

f(g(-3)) = f(5) = -3
g(f(5)) = g(-3) = 5


For something more familiar,

f = x^2
g = sqrt(x)

f(g(x)) = [sqrt(x)]^2 = x
g(f(x)) = sqrt(x^2) = x

f(3) = 9
g(9) = 3

Answer 2

Well, rats. I got it backwards

f(-3) = 5
g(5) = -3