Question

Consider the function f(x)=-2/3x+5

What is f(5/2)
Enter your answer, as a simplified fraction, in the box

Answer 1

10/3

Explanation:

SO we have the function
`f(x) = -(2)/(3) x +5`

We have to find f(5/2) or f(2.5)

Notice the similarity between f(5/2) and f(x)

f(5/2) basically means substitute 5/2 for x

So al we have to do is substitute
`-(2)/(3)x+5\\ as \\ -(2)/(3) *(5)/(2) +5\\`

So we get:

`-(10)/(6)+5\\=-(5)/(3) +5\\\\=(-5+15)/(3) =(10)/(3)`