Given the functions ( f(x) = 2x - 3 ) and ( g(x) = x^2 - 5 ), find ( (f - g)(x) )

Question

Accepted Answer

Step:1 ：Step 1: Start by setting up the difference of the two functions using the formula ( (f - g)(x) = f(x) - g(x) )Step:2 ：Step 2: Substitute the functions into the formula ( (f - g)(x) = (2x - 3) - (x^2 - 5) )Step:3 ：Step 3: Simplify the expression ( (f - g)(x) = 2x - 3 - x^2 + 5 )Step:4 ：Step 4: Rearrange the terms to have the highest degree first ( (f - g)(x) = -x^2 + 2x + 2 )

Answer

Step: 1 ：Step 1: Start by setting up the difference of the two functions using the formula ( (f - g)(x) = f(x) - g(x) )Step: 2 ：Step 2: Substitute the functions into the formula ( (f - g)(x) = (2x - 3) - (x^2 - 5) )Step: 3 ：Step 3: Simplify the expression ( (f - g)(x) = 2x - 3 - x^2 + 5 )Step: 4 ：Step 4: Rearrange the terms to have the highest degree first ( (f - g)(x) = -x^2 + 2x + 2 )

Given the functions $f (x) = 2 x - 3$ and $g (x) = x^{2} - 5$ , find $(f - g) (x)$

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Popular Problems

Given the functions f(x)=2x−3 and g(x)=x2−5, find (f−g)(x)

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Popular Problems

Given the functions $f (x) = 2 x - 3$ and $g (x) = x^{2} - 5$ , find $(f - g) (x)$