Question

Consider the function f(x)=−2/3x+5 .

What is f(5/2) ?

Enter your answer, as a simplified fraction, in the box.

f(52)=

Answer 1

ok so the person above is correct, its just that he didn't simplify. The answer would be 3 1/3. :)))

Answer 2

For this case we have a function of the form
`y = f (x),`where
`f (x) = - \frac {2} {3} x + 5`

We must find the value of the function when
`x = \frac {5} {2}`

So, we have:

`f (\frac {5} {2}) = - \frac {2} {3} (\frac {5} {2}) + 5\\f (\frac {5} {2}) = - \frac {10} {6} +5\\f (\frac {5} {2}) = \frac {-10 + 30} {6}\\f (\frac {5} {2}) = \frac {20} {6}\\f (\frac {5} {2}) = \frac {10} {3}\\`

Thus, the value of the function is
`\frac {10} {3}`

Answer:

`\frac {10} {3}`