Question

6x + y=4x+ 11y, write a formula for h(x) in terms of x

Answer 1

`h(x)=(1)/(5)x`

Explanation:

To write a formula for a function, such as h(x), you need to solve for y.

`6x+y=4x+11y`

`-4x`
`-4x`

`2x+y=11y`

`-y`
`-y`

`2x=10y`

`/10`
`/10`

`(2)/(10)x=y`

`y=(1)/(5)x`

y and h(x) mean the same thing, so you can subsitute h(x) for y in order to fit the question.

Therefore,
`h(x)=(1)/(5)x`