What is the inverse of this function??

Question

f(x) = (4x + 1) / 7

f^-1(x) = ?

I know you have to do the opposite but it isn't really working for me. I am struggling and stumped on this problem.

Thanks in advance!

Answer 1

Simply do the following to find an inverse:

Switch the x and y and then solve for y.

Here,

x = ( 4y + 1 ) / 7

7x=4y+1

7x-1 = 4y

y = (7x-1)/4  ANSWER

Answer 2

7/(4x+1)

Answer 3

The idea of the inverse of a function is that you are taking a function that is say f: x-->y and transforming it such that it's f^(-1): y -->x. This means that you need to switch the role of the variables, so switch them in the equation.

So if you replace f(x) by y, then y = (4x+1)/7. Switch the variables. x = (4y+1)/7. Write y in terms of x. 7x-1 = 4y,

(7x-1)/4 = y.

Answer 4

First, let f(x)=y.

now,

         y= (4x+1)/7

or,      7y = 4x +1

Then, interchanging the role of x and y , we get,

          7x = 4y + 1

     or,  4y= 7x - 1

     or,  y = (7x - 1)/4

Therefore,

         f^-x = (7x-1)/4

Answer 5

You don't need a graduate deg to understand this stuff LOL

7y= 4x+1

(7y-1)1/4 =x

7/4y-1/4=x=f inverse  

Answer 6

7/(4x+1) is the inverse, just swap numerator and denominator