Question

f:R-{0} = R ,f(x)=1/x +ax and f(1/5) =28/5 then find a​

Answer 1

Answer:

$f( \frac{1}{5} ) = \frac{1}{ \frac{1}{5} } + \frac{a}{5} = \frac{a}{5} + 5 = \frac{28}{5}$

Then,

$\frac{a + 25}{5} = \frac{28}{5} \\ \ \\ a = 3$