Question

F(x)=2x-7/4 is invertible then write f inverse of x

Answer 1

Answer:

It's unclear to me if you actually mean 2x - 7/4 or (2x-7)/4.  Just to be safe, let's do both.

f(x) = 2x - 7/4.

Let $y = f^{-1}(x).$

Then

x = f(y)

=> x = 2y - 7/4

=> 2y = x + 7/4

=> y = x/2 + 7/8

=> $f^{-1}(x)=\frac{x}2+\frac78$

f(x) = (2x - 7) / 4

Let $y = f^{-1}(x).$

Then

x = f(y)

=> x = (2y - 7) / 4

=> 4x = 2y - 7

=> 2y = 4x + 7

=> y = (4x + 7) / 2

=> $f^{-1}(x) = \frac{4x+7}{2}$