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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
c) 3x2 - x - 4
d) 3x2 - x - 6

Respuesta :

Skittles99
B = -3x2 + 3x - 6 is your answer

Answer:

[tex](f - g)(x)=-3x^2+3x-6[/tex]    

Step-by-step explanation:

Given two functions

[tex]f(x)=x^2+x-5[/tex]

[tex]g(x)=4x^2-2x+1[/tex]

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

[tex](f - g)(x)=f(x)-g(x)=x^2+x-5-(4x^2-2x+1)[/tex]

[tex]=x^2+x-5-4x^2+2x-1[/tex]

[tex]=(x^2-4x^2)+x+2x-5-1[/tex]

[tex]=-3x^2+3x-6[/tex]

Option b is correct.

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