Answer
Option A is correct.
The value of a for which f(a) is (1/10) is
a = -(3/2)
Step-by-step Explanation
f(a) is given as
[tex]f(a)=\frac{2+a}{5}[/tex]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)
[tex]\begin{gathered} f(a)=\frac{2+a}{5}=\frac{1}{10} \\ \frac{2+a}{5}=\frac{1}{10} \\ \text{Cross multiply} \\ 10\times(2+a)=1\times5 \end{gathered}[/tex]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!!!
