Question

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

Please help and explain.
Thank you. :)

Answer 1

`h(x)=12x-9`

Explanation:

We are given the two functions:

`f(x)=4x-2\text{ and } g(x)=-8x+7`

And we want to find:

`h(x)=f(x)-g(x)`

So, by substitution:

`h(x)=(4x-2)-(-8x+7)`

Simplify. Distribute:

`h(x)=(4x-2)+(8x-7)`

Rearrange:

`h(x)=(4x+8x)+(-2-7)`

Combine like terms. Hence:

`h(x)=12x-9`