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_34. Let f(x) = 8x2 + 3x - 1 and g(x) = 4x2 – 5x + 7. Find f(x) - g(x)

Sagot :

Answer:

4x² + 8x - 8

Step-by-step explanation:

We are given these following functions:

f(x) = 8x²+3x-1

g(x) = 4x² - 5x + 7

We have to do: f(x) - g(x)

So

f(x) - g(x) = 8x² + 3x - 1 - (4x² - 5x + 7)

The minus means that the signal of everything inside the parenthesis is changed. So

8x² + 3x - 1 - (4x² - 5x + 7) = 8x² + 3x - 1 - 4x² + 5x - 7

Now we combine the like terms:

With x²: 8x² - 4x² = 4x²

With x: 3x + 5x = 8x

Independent: -1 - 7 = -8

The answer is:

4x² + 8x - 8

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