Question

Write each equation in function notation, then solve the function for the given value.

(i.e. Find the Function and Solution)

y = -2/5x + 3/8 when c = 1/3

Answer 1

Given:

The equation is:

`y=-(2)/(5)x+(3)/(8)`

To find:

The function notation for the given equation and then solve the function for the value
`x=(1)/(3)`.

Solution:

We have,

`y=-(2)/(5)x+(3)/(8)`

Substitute
`y=f(x)` in the given equation to find the function notation of it.

`f(x)=-(2)/(5)x+(3)/(8)`

Substituting
`x=(1)/(3)`, we get

`f((1)/(3))=-(2)/(5)((1)/(3))+(3)/(8)`

`f((1)/(3))=-(2)/(15)+(3)/(8)`

`f((1)/(3))=(-16+45)/(120)`

`f((1)/(3))=(29)/(120)`

Therefore, the function notation is
`f(x)=-(2)/(5)x+(3)/(8)` and the value of the function at
`x=(1)/(3)` is
`(29)/(120)`.