Question

2 + aIf f(a) =5for what value of a does f(a) = fo?

Answer 1

Option A is correct.

The value of a for which f(a) is (1/10) is

a = -(3/2)

Explanation

f(a) is given as

`f(a)=(2+a)/(5)`

We are then told to find the value of a for which f(a) = (1/10)

Recall that

f(a) = (2 + a)/5

So, we just equate this definition of the function to (1/10)

`\begin{gathered} f(a)=(2+a)/(5)=(1)/(10) \\ (2+a)/(5)=(1)/(10) \\ \text{Cross multiply} \\ 10*(2+a)=1*5 \end{gathered}`

10(2 + a) = 5

20 + 10a = 5

Subtract 20 from both sides

20 + 10a - 20 = 5 - 20

10a = -15

Divide both sides by 10

(10a/10) = (-15/10)

a = -1.5 = -(3/2)

Option A is correct.

Hope this Helps!!!