Question

Please solve this❣️​

Answer 1

Answer:

f⁻¹(1/5) = 2

Explanation:

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

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

$f(x) = \dfrac{2x - 3}{5}$

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

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

$x = \dfrac{5 f(x) + 3}{2}$

Then,

$f^{-1}(x) = \dfrac{5x+3}{2}$

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

$f^{-1}(0.2) = \dfrac{5(0.2)+3}{2}$

which yields

$f^{-1}(0.2) = 2$