Question

Which function is the inverse of f(x) = 2x + 3?

Answer 1

2/x - 3 Hope that helps.

Answer 2

Answer: The required inverse function is
`f^(-1)(x)=(x-3)/(2).`

Step-by-step explanation: We are given to find the inverse of the following linear function :

`f(x)=2x+3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Let us consider that

`f(x)=y~~~~~\Rightarrow x=f^(-1)(y).`

From equation (i), we have

`f(x)=2x+3\\\\\Rightarrow y=2f^(-1)(y)+3\\\\\Rightarrow 2f^(-1)(y)=y-3\\\\\Rightarrow f^(-1)(y)=(y-3)/(2)\\\\\Rightarrow f^(-1)(x)=(x-3)/(2).`

Thus, the required inverse function is
`f^(-1)(x)=(x-3)/(2).`