Answer:
[tex]g(x)=0.8x+1.6[/tex]
Step-by-step explanation:
we have
[tex]-4x-6=-5y+2[/tex]
Solve for y
That means-----> isolate the variable y
Subtract both sides -2
[tex]-4x-6-2=-5y+2-2[/tex]
[tex]-4x-8=-5y[/tex]
Divide by -5 both sides
[tex](-4x-8)/(-5)=y[/tex]
Rewrite
[tex]y=(-4x-8)/(-5)[/tex]
[tex]y=\frac{4}{5}x+\frac{8}{5}[/tex]
[tex]y=0.8x+1.6[/tex]
Convert to function notation
Let
g(x)=y
[tex]g(x)=0.8x+1.6[/tex]
