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Given the functions, f(x) = x 2 + x - 5 and g(x) = 4x 2 - 2x + 1, perform the indicated operation. When applicable, state the domain restriction.


(f - g)(x)

A-3x2 - x - 4
B-3x2 + 3x - 6
C3x2 - x - 4
D3x2 - x - 6

Verified Answer :

B = -3x2 + 3x - 6 is your answer

Answer:

\((f - g)(x)=-3x^2+3x-6\)    

Step-by-step explanation:

Given two functions

\(f(x)=x^2+x-5\)

\(g(x)=4x^2-2x+1\)

we have to find the value of (f - g)(x)

\((f - g)(x)=f(x)-g(x)=x^2+x-5-(4x^2-2x+1)\)

\(=x^2+x-5-4x^2+2x-1\)

\(=(x^2-4x^2)+x+2x-5-1\)

\(=-3x^2+3x-6\)

Option b is correct.