Question

Please solve this❣️​

Answer 1

f⁻¹(1/5) = 2

Step-by-step explanation:

If f(x) = (2x -3)/5

To find inverse of f(x), make x the subject.

`f(x) = (2x - 3)/(5)`

`5 f(x) = 2x - 3`

`2x = 5 f(x) + 3`

`x = (5 f(x) + 3)/(2)`

Then,

`f^(-1)(x) = (5x+3)/(2)`

To find f⁻¹(1/5), simplify insert [x = 1/5 or 0.2]

`f^(-1)(0.2) = (5(0.2)+3)/(2)`

which yields

`f^(-1)(0.2) = 2`