134k views
3 votes
W/c one of the ff is the invers of f(x)=2+e^x+1​

A, f(x)^-1=1+e^x B, f(x)^-1=1-ln(x-2)
C, f(x)^-1=1-e^x D,f(x)^-1=1+ln(x-2)

1 Answer

3 votes

Inverse function is y = -1 + ln(x-2)

Explanation:

To find the inverse of a function
y=f(x), we swap
x \textrm{ and }y and solve the equation to get the form
y=f(x). This is the inverse function.

On swapping
x \textrm{ and }y in
y=2+e^((x+1)), we get
x=2+e^((y+1)).


x-2=e^((y+1))


ln(x-2)=ln(e^((y+1)) )=y+1


y=-1+ln(x-2) is the inverse function.


f^(-1)(x)=-1+ln(x-2)

User Brabster
by
8.0k points

Related questions

asked Jun 4, 2024 215k views
Liljana asked Jun 4, 2024
by Liljana
8.9k points
1 answer
4 votes
215k views
asked Jul 6, 2024 182k views
Schnee asked Jul 6, 2024
by Schnee
7.7k points
1 answer
5 votes
182k views
asked Jan 17, 2024 144k views
Ugur Artun asked Jan 17, 2024
by Ugur Artun
7.9k points
2 answers
1 vote
144k views