Determine the inverse of this function.

f(x) = 3 cos(2x – 3) + 1

a)

The inverse of given function

Step-by-step explanation:

Step(i):-

Given function f(x) = 3 cos (2 x -3) + 1

Let y = f(x) = 3 cos (2 x -3) + 1

     y = 3 cos (2 x -3) + 1

   ⇒ y - 1 =  3 cos (2 x -3)

   ⇒  

  ⇒

We know that inverse trigonometric equations

cos⁻¹(cosθ) = θ

Step(ii):-

we know that   y= f(x)

The inverse of the given function

The inverse of given function in terms of 'x'

conclusion:-

 The inverse of given function