Question

$f(x)=8x-2$
$g(x)=9x+2$
what is $h(x)=f(x)-g(x)$?
$h(x)=17x+14$
$h(x)=x+4$
$h(x)=-x-4$
$h(x)=-x+14$

Explanation:

Step1: Substitute given functions

$h(x) = (8x - 2) - (9x + 2)$

Step2: Distribute the negative sign

$h(x) = 8x - 2 - 9x - 2$

Step3: Combine like terms

$h(x) = (8x - 9x) + (-2 - 2)$
$h(x) = -x - 4$

Answer:

$h(x) = -x - 4$ (Option 3)