Question

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

Answer 1

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

Answer 2

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.