Mathematics: Which function is the inverse of f(x) = 2x + 37 of (x) = -x- f (x) = 3x- of(x) = –2x+3 of(x) = 2x+3

I will go with choice (C) density dependent pattern ...

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

silasjob09

09.01.2022

The inverse function of f(x) is $\dfrac{\textrm x - 37 }{2}$

Step-by-step 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 = $\dfrac{\textrm x - 37 }{2}$

∴ $f^{-1}x$ = y = $\dfrac{\textrm x - 37 }{2}$

Or, $f^{-1}x$ = $\dfrac{\textrm x - 37 }{2}$

Hence The inverse function of f(x) is $\dfrac{\textrm x - 37 }{2}$ Answer

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