Question

Consider the function f(x)=‐⅔x+5

What us f(½)?

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

f(½)=____​

Answer 1

Here, A polynomial f(x) is given in the Question and we have to find the value of f(1/2). This can be done by substituting x by 1/2.

Given,

`f(x) = ( - 2)/(3) x + 5`

So, replace every x in this expression by 1/2, because we have to find the value of f(1/2)

`f( (1)/(2) ) = ( - 2)/(3) * (1)/(2) + 5`

`f( (1)/(2) ) = ( - 1)/(3) + 5`

So, let's simplify it by solving further,

`f( (1)/(2) ) = ( - 1 + 15)/(3)`

`f( (1)/(2) ) = (14)/(3)`

So, the final value of f(1/2) is 14/3 that is around:

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And we are done !!

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Answer 2

`f( (1)/(2) ) = (14)/(3)`

Explanation:

`f(x) = - (2)/(3) x + 5`

To find f(½) substitute the value of x that's ½ into f(x). That is for every x in f(x) replace it with 1/2

That's

`f( (1)/(2) ) = - (2)/(3) ( (1)/(2) ) + 5 \\ = - (1)/(3) + 5`

Find the LCM

The LCM is 3

We have

`- (1)/(3) + (5)/(1) \\ \rarr ( - 1 + 15)/(3)`

We have the final answer as

`f( (1)/(2) ) = (14)/(3)`

Hope this helps you