Posted by **Jo** on Wednesday, January 18, 2012 at 3:02am.

Verify that the function f and g, are inverses of each other by showing that f(g(x))=x and g(f(x))=x. Graph both the functions on the same graph. Please show all of your work.

f(x)=-7/x-4

g(x)=4x-7/x

- College Algebra -
**Steve**, Wednesday, January 18, 2012 at 5:12am
I'll do f(g(x)) and that will show you how to do g(f(x))

f(x) = -7/(x-4)

so,

f(g) = -7/(g-4)

but, g = (4x-7)/x, so we have

f(g) = -7/[(4x-7)/x - 4]

= -7/(4 - 7/x - 4)

= -7/(-7/x)

= -7 * (x/-7)

= x

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