Question

What is the inverse of the functionf(x)=2x+1

Answer 1

x = 2x + 1

x - 2x = 1

-x = 1

x = -1

Answer 2

Given , function
`f(x) = 2x+1`

we have to find the inverse of the function f(x)

Substitute y for f(x):
`y=2x+1`

Subtract 1 from both sides,
`y-1=2x+1-1`

Divide both sides by 2,
`(y-1)/(2) = x`

`\Rightarrow x=(y-1)/(2)`

Substitute
`f^(-1)(y)\:for\:x`
`\RIghtarrow f^(-1)(y)=(y-1)/(2)`

Hence, The inverse of the function
`f(x)=2x+1\:is f^(-1)(y)=(y-1)/(2)`