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Vedmedyk [2.9K]
2 years ago
5

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

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

h(x)=12x-9

Step-by-step 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

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