Answered

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

Sagot :

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.

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