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Aleksandr [31]
3 years ago
13

Could someone please show me the steps to get this answer?

Mathematics
1 answer:
Stells [14]3 years ago
3 0
Start with f(x) = (x-9)/(x+5) and g(x) = (-5x-9)/(x-1).  To obtain f(g(x)), throw out each appearance of x in f(x) = (x-9)/(x+5) and replace it with <span>g(x) = (-5x-9)/(x-1):

f(g(x)) = [</span>(-5x-9)/(x-1) - 9] / [<span>(-5x-9)/(x-1) + 5]

Now simplify the algebra.  If your result equals just x, then you have proven that f and g are inverses of one another.  Need help with the fractions?  If so, do what you can and share it here; I'd then be glad to give you feedback on your work.</span>
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