Question

If f and g are inverse functions
f(7)=10
f(10)=-1
find g(10)
is my answer 7?

Answer 1

g(x) is the inverse of f(x)

so that means that the inputs/outputs of f and g will swap

Answer 2

example, if you plug in x = 2 into f(x) and you got f(2) = 95

then the output of 95 can be plugged into g(x) to get g(95) = 2

Answer 3

so the output of 95 is plugged into g(x) to get another output of 2 (which is the original input of f(x))

Answer 4

hopefully that makes sense, if not, then let me know

Answer 5

Your answer was correct @mocham

if f(7)=10
then \[\large f^{-1}(10)=7\]

Answer 6

oh sorry I didn't see that you posted an answer, yes, 7 is correct

Answer 7

=) yay! thank you - I am figuring these out but I don't fully understand them - it should come the more I do them ... right?

Answer 8

Yes. If
\[\large f(a) = b\]then\[\large f^{-1}(b)=a\]so basically the x and y swap in these.

Answer 9

ohhh okay I like that!