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# Inverted function

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482
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f(x)=e^x-1+2x-3

and the question is

inverted function of x (f^-1(x))=0

please answer with steps

Jul 9, 2015

### Best Answer

#3
+106046
+5

hi anon,

This is an inverse function question                   (Factorials are something completely different)

Jul 11, 2015

### 3+0 Answers

#1
+106046
+5

$$\\f(x)=e^x-1+2x-3\\\\ Let\;\; y=f(x)\\ y=e^x-1+2x-3\\ y=e^x+2x-4\\ Domain\;\;x\in R \;\;and \;\; range\;\;y\in R\\ and both x and y are both mapped 1 to 1 to the other\\ So it is ok for me to just going to swap x and y over\\ the inverse function is \\ x=e^y+2y-4\\ If \;\;y=0\;\; then\;\; x=e^0+2*0-4=1-4=-3$$

$$\\f^{-1}(x)=0 \qquad when \qquad x=-3$$

Here is the graph

https://www.desmos.com/calculator/lb12iqyjf0

Jul 10, 2015
#2
+5

Thanks a lot.Now I know how to solve equations with inverted factorial.I wish you the best!

Jul 10, 2015
#3
+106046
+5
Best Answer

hi anon,

This is an inverse function question                   (Factorials are something completely different)

Melody Jul 11, 2015