inverse function?

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use composition to prove that f(x)=e^x+2 and g(x)= -2+LnX are inverse functions

2007-11-19 07:34:29 · 3 answers · asked by * B 1 in Science & Mathematics ➔ Mathematics

f(g(x)) = f(-2+Lnx) = e^(-2+Lnx+2) = x
g(f(x)) = g(e^(x+2)) = -2 + lne^(x+2) = -2+x+2 = x

2007-11-19 07:40:31 · answer #1 · answered by sahsjing 7 · 0⤊ 0⤋

Did you mean f(x) = e^(x + 2)?

f(g(x)) = f(-2 + ln x) = e^(-2 + lnx + 2) = e^ln x = x

2007-11-19 07:45:42 · answer #2 · answered by Amit Y 5 · 0⤊ 0⤋

as presented these are not inverse functions.
what you mean is e^(x+2) - the brackets are very important

2007-11-19 07:51:06 · answer #3 · answered by lienad14 6 · 0⤊ 0⤋