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38 votes
If f(x) = 3x² - 2x + 4 and g(x) 5x² + 6x - 8, find (f-g)(x)

User Joe Pym
by
3.3k points

2 Answers

10 votes
10 votes

Answer:

-2x^2- 8x + 12.

Explanation:

(f - g)(x) = f(x) - g(x)

= 3x^2 - 2x + 4 - (5x^2 + 6x - 8)

Distributing the negative over the parentheses:

= 3x^2 - 2x + 4 - 5x^2 - 6x + 8

= -2x^2- 8x + 12.

User Nichole
by
2.7k points
17 votes
17 votes

Answer:

-2x²-8x+12

Explanation:

(f-g)(x)

--> f(x) - g(x)

--> 3x² - 2x + 4 -(5x² + 6x - 8)

--> 3x² - 2x + 4 -5x² - 6x + 8

--> -2x²-8x+12