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

User Elwood
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1 Answer

3 votes

Answer:

(f-g)(x) = 2x^2 - 3x - 8

Explanation:

To find (f-g)(x), we need to subtract the function g(x) from the function f(x).

Given:

f(x) = 2x^2 - 5

g(x) = 3x + 3

To subtract g(x) from f(x), we substitute the expression for g(x) into f(x) and simplify:

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

= (2x^2 - 5) - (3x + 3)

To simplify further, we distribute the negative sign to each term in g(x):

(f-g)(x) = 2x^2 - 5 - 3x - 3

Combining like terms, we have:

(f-g)(x) = 2x^2 - 3x - 8

Therefore, (f-g)(x) = 2x^2 - 3x - 8.

User Tim VN
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