Try the fastest way to create flashcards
Question

The function f is one-to-one. Find the inverse of each function and check your answer. f(x)=2x3+xf(x)=\frac{2-x}{3+x}

Solution

Verified
Answered 2 years ago
Answered 2 years ago
Step 1
1 of 6

The first step in finding the inverse of a function is to replace f(x)f(x) by yy

f(x)=2x3+xy=2x3+xf(x)=\dfrac{2-x}{3+x} \Rightarrow y=\dfrac{2-x}{3+x}

Then, interchange the variables to obtain x=f(y)x=f(y).

x=2y3+yx=\dfrac{2-y}{3+y}

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

Precalculus 2nd Edition by Carter, Cuevas, Day, Malloy

Precalculus

2nd EditionISBN: 9780076602186Carter, Cuevas, Day, Malloy
8,886 solutions
Nelson Functions 11 1st Edition by Chris Kirkpatrick, Marian Small

Nelson Functions 11

1st EditionISBN: 9780176332037Chris Kirkpatrick, Marian Small
1,275 solutions
Precalculus 9th Edition by Sullivan

Precalculus

9th EditionISBN: 9780321716835Sullivan
9,190 solutions
Precalculus with Limits 3rd Edition by Larson

Precalculus with Limits

3rd EditionISBN: 9781133962885 (3 more)Larson
11,142 solutions

More related questions

1/4

1/7