If f(x) = 6x^2 - 2x - 5 and g(x) = -2x^2 + 3x - 1, find (f-g) (x)

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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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(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.