Question

For a given input value x, the function g outputs a value y to satisfy the following equation. -4x-6=-5y+2. Write a formula for g(x) in terms of x.

Answer 1

`g(x)=0.8x+1.6`

Explanation:

we have

`-4x-6=-5y+2`

Solve for y

That means-----> isolate the variable y

Subtract both sides -2

`-4x-6-2=-5y+2-2`

`-4x-8=-5y`

Divide by -5 both sides

`(-4x-8)/(-5)=y`

Rewrite

`y=(-4x-8)/(-5)`

`y=(4)/(5)x+(8)/(5)`

`y=0.8x+1.6`

Convert to function notation

Let

g(x)=y

`g(x)=0.8x+1.6`