Question

if f(x)=4x^2-6 and g(x)=x^2-4x-8,find (f-g)(x)

a.(f-g)(x)=x^2-14
b.(f-g)(x)=5x^2-4x-14
c.(f-g)(x)=3x^2+4x+2
d.(f-g)(x)=3x^2-4x-2

Answer 1

c. Due to c. and the equation above would be equal just in a different arrangement

Answer 2

Answer:

$(f-g)(x)=3x^2+4x+2$

C is correct

Step-by-step explanation:

Given: $f(x)=4x^2-6$

$g(x)=x^2-4x-8$

To find : (f-g)(x)

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

$\Rightarrow (4x^2-6)-(x^2-4x-8)$

using Distributive property

$\Rightarrow 4x^2-6-x^2+4x+8$

$\Rightarrow 4x^2-x^2+4x+8-6$

Combine like term

$\Rightarrow 3x^2+4x+2$

$(f-g)(x)=3x^2+4x+2$

Hence, The composite function is $(f-g)(x)=3x^2+4x+2$