Question

Consider the function f(x)=−23x+2f(x)=−23x+2 . What is f(12)f(12) ? Enter your answer, as a simplified fraction, in the box

Answer 1

f(12)= 278
f(12)= -274

Answer 2

If the function is
`f(x)=-23x+2`, then the value of f(12) is -274.

Note: If the function is
`f(x)=-(2)/(3)x+2`, then the value of
`f((1)/(2))` is
`(5)/(3)`.

Explanation:

The given function is

`f(x)=-23x+2`

Put x=12,

`f(x)=-23(12)+2=-274`

It is not a fraction value.

Note: If the given function is

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

We have to find the value of
`f((1)/(2))`.

Put
`x=(1)/(2)` in the given function.

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

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

`f((1)/(2))=(-1+6)/(3)`

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

Therefore the value of
`f((1)/(2))` is
`(5)/(3)`.