30.2k views
5 votes
If f(x) =
(x+3)/(4), what is the equation for f–1(x)?

f–1(x) = 4(x + 3)

f–1(x) = 4x - 3

f–1(x) = 4(x - 3)

f–1(x) = 4x + 3

2 Answers

4 votes

Answer:

Choice b is correct.

The inverse of function f(x)=x+3/4 is 4x-3

Explanation:

Given function is:

f(x)=x+3 / 4

We have to find the inverse of f(x)

Put f(x)=y in above equation

y = x+3 / 4

We have to separate x from above equation.

Multiplying 4 on both sides of above equation,we have

4y=(x+3)

Adding -3 to both sides of above equation,we have

4y-3=x+3-3

x=4y-3

Replacing y to x and x to f⁻¹(x) we have

f⁻¹(x)=4x-3

This is our required result.

The inverse of the function f(x)=x+3/4 is 4x-3

User Giorgos Betsos
by
8.3k points
2 votes

Answer:

option (b) is correct

inverse of function
f(x)=(x+3)/(4) is 4x+3

Explanation:

Given function
f(x)=(x+3)/(4)

We have to find the inverse of given function.

Let f(x) = y then taking inverse both sides, we get


f^(-1)(y)=f^(-1)(f(x))\\\\\ f^(-1)(y)=x

Substitute , x and f(x) in given equation, we get,


f(x)=(x+3)/(4) \Rightarrow ((f^(-1)(y))+3)/(4)

Now solve for
(f^(-1)(y)) , we get,


(f^(-1)(y))+3=4y


(f^(-1)(y))=4y-3

Thus, inverse of function
f(x)=(x+3)/(4) is 4x+3

Thus, option (b) is correct.

User Abhijeet Navgire
by
8.2k 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