If f(x) = 6x^2 - 2x - 5 and g(x) = -2x^2 + 3x - 1, find (f-g) (x)
2 answers:
Hey there! I'm happy to help!
To find (f-g)(x), we simply subtract the function g from the function f.
6x²-2x-5-(-2x²+3x-1)
We combine like terms.
6x²+2x²=8x²
-2x-3x=-5x
-5-(-1)=-5+1=-4
Therefore, (f-g)(x)=8x²-5x-4
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Answer: (f-g)(x)=8x²-5x-4
Step-by-step explanation:
(f-g)(x) means to subtract f(x) and g(x). Since we are given f(x) and g(x), we can directly subtract them.
(f-g)(x)=6x²-2x-5-(-2x²+3x-1) [distribute -1]
(f-g)(x)=6x²-2x-5+2x²-3x+1 [combine like terms]
(f-g)(x)=8x²-5x-4
Now, (f-g)(x)=8x²-5x-4 is our answer.
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