Answer:
[tex]h(x)=12x-9[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=4x-2\text{ and } g(x)=-8x+7[/tex]
And we want to find:
[tex]h(x)=f(x)-g(x)[/tex]
So, by substitution:
[tex]h(x)=(4x-2)-(-8x+7)[/tex]
Simplify. Distribute:
[tex]h(x)=(4x-2)+(8x-7)[/tex]
Rearrange:
[tex]h(x)=(4x+8x)+(-2-7)[/tex]
Combine like terms. Hence:
[tex]h(x)=12x-9[/tex]
