107k views
0 votes
If f(x)=2x-3/5 which of the following is the inverse of f (x)

2 Answers

1 vote

For this case we must find the inverse of the following function:


f (x) = 2x- \frac {3} {5}

We change f(x) by y:


y = 2x- \frac {3} {5}

We exchange the variables:


x = 2y- \frac {3} {5}

We cleared "y":

Adding
\frac {3} {5} to both sides of the equation:


x + \frac {3} {5} = 2y

DIviding between 2 to both sides of the equation:


y = \frac {x} {2} + \frac {3} {10}

We change y for
f^(-1) (x):


f ^ {- 1} (x) = \frac {x} {2} + \frac {3} {10}

Answer:


f ^( - 1) (x) = \frac {x} {2} + \frac {3} {10}

User RomanM
by
8.0k points
6 votes

Answer:

g(x)=(x+3/5)/2

Explanation:

When f(g(x)) and (g(f(x)) both equal x, they are inverses.

f(x)=2x-3/5

y=2x-3/5

x=2y-3/5

x+3/5=2y

(x+3/5)/2=y

(x+3/5)/2=g(x)

User JonHendrix
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories