Question

If f(x)=4x-2 and g(x)=-8x 7, find h(x)=f(x) - g(x) THINK CAREFULLY about the -g(x) part. If you show every step, you are less likely to make a mistake with that. Your answer should be h(x)= with

Answer 1

Answer: h(x) = 12x - 9

Explanation:

To find h(x), we need to subtract g(x) from f(x).

Given:

f(x) = 4x - 2

g(x) = -8x + 7

To subtract g(x) from f(x), we simply subtract each corresponding term.

Step 1: Subtract the x term

f(x) - g(x) = (4x - 2) - (-8x + 7)

Step 2: Simplify the subtraction of x terms

f(x) - g(x) = 4x - 2 + 8x - 7

Step 3: Combine like terms

f(x) - g(x) = (4x + 8x) + (-2 - 7)

f(x) - g(x) = 12x - 9

So, h(x) = 12x - 9. This is the final answer.