Question

Which function is the inverse of f(x) = 2x + 37

of" (x) = -x-
f"(x) = 3x-
Of(x) = –2x+3
Of(x) = 2x+3

Answer 1

The inverse function of f(x) is
`(\textrm x - 37 )/(2)`

Explanation:

Given function as :

f(x) = 2 x + 37

Let The inverse function of f(x) =
`f^(-1)x`

or, y = 2 x + 37

Now, swap x and y variables

So, x = 2 y + 37

Again, solve for y

i.e 2 y = x - 37

or, y =
`(\textrm x - 37 )/(2)`

∴
`f^(-1)x` = y =
`(\textrm x - 37 )/(2)`

Or,
`f^(-1)x` =
`(\textrm x - 37 )/(2)`

Hence The inverse function of f(x) is
`(\textrm x - 37 )/(2)` Answer