15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.

Mathematics

1 answer:

erastovalidia [21]3 years ago

6 0

Answer:

Step-by-step explanation:

$f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1$

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