Question

the value of 'A' if f (x)=1/x+Ax and f (1/5)=28/5 is
a) 3 b) 2 c) 1 d) 0
please give me answer with explanation

Answer 1

The value of A = 3

Given :

f(x) = 1/x + Ax and f(1/5) = 28/5

To find :

The value of A is

a) 3

b) 2

c) 1

d) 0

Solution :

Step 1 of 2 :

Write down the given function

Here the given function is

f(x) = 1/x + Ax

Step 2 of 2 :

Find the value of A

It is given that f(1/5) = 28/5

$\displaystyle \sf{ f \bigg( \frac{1}{5} \bigg) = \frac{1}{ \frac{1}{5} } +A. \frac{1}{5} }$

$\displaystyle \sf{ \implies \frac{28}{5} = 5 +A. \frac{1}{5} }$

$\displaystyle \sf{ \implies 5 +A. \frac{1}{5} = \frac{28}{5} }$

$\displaystyle \sf{ \implies A. \frac{1}{5} = \frac{28}{5} - 5 }$

$\displaystyle \sf{ \implies \frac{A}{5} = \frac{28 - 25}{5} }$

$\displaystyle \sf{ \implies \frac{A}{5} = \frac{3}{5} }$

$\displaystyle \sf{ \implies A = 3 }$

Hence the correct option is a) 3

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Answer 2

Answer:

Step-by-step explanation:we are already given value of f(1/5) i.e 28/