SOLUTION: Let {{{h(x)= 2/(3x+2)}}} and let {{{g(x)= (2-2x)/3x}}}. Show that these two functions are inverses.

SOLUTION: Let {{{h(x)= 2/(3x+2)}}} and let {{{g(x)= (2-2x)/3x}}}. Show that these two functions are inverses.

Algebra.Com

Question 1006927: Let and let . Show that these two functions are inverses.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Switch to x-y format using h(x) as the function.

Interchange x and y and solve for the new y.

This new y is the inverse of the original y.
Since it equals g, then f and g are inverses.
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