Question

Consider the function represented by the equation 1/2 J + 1/4 k equals 3 which shows the equation written in function notation with K as the independent variable

Answer 1

f(k) = -1/2k + 6

You can get this by solving for J and then using f(k) in its place.

Answer 2

we have

`(1)/(2) J+(1)/(4) K=3`

Step 1

Solve for J

`(1)/(2) J+(1)/(4) K=3`

Multiply by
`2` both sides

`2*(1)/(2) J+2*(1)/(4) K=2*3`

`J+(1)/(2) K=6`

Subtract
`(1)/(2) K` both sides

`J+(1)/(2) K-(1)/(2) K=6-(1)/(2) K`

`J=6-(1)/(2) K`

Step 2

Convert the equation in function notation

Let

`f(k)=J`

`f(k)=6-(1)/(2) K`

`f(k)=-(1)/(2) K+6`

therefore

the answer is

`f(k)=-(1)/(2) K+6`