Question

Which function is the inverse of f(x) = 2x + 3? f-1(x) = –2x + 3 f-1(x) = 2x + 3

Answer 1

Answer with Step-by-step explanation:

Let f(x)=y

⇒ x=
`f^(-1)(y)`

f(x)=2x+3=y

⇒ 2x+3=y

⇒ 2x=y-3

⇒ x=(y-3)/2

⇒
`f^(-1)(y)=(y-3)/(2)`

Replacing y by x

⇒
`f^(-1)(x)=(x-3)/(2)`

Hence, inverse of the function f(x)=2x+3 is:

`f^(-1)(x)=(x-3)/(2)`