Answer:
After solving we get [tex]\mathbf{(f-g)(x)=-4x^3+7x^2+5x-8}[/tex]
Option A is correct option.
Step-by-step explanation:
We are given :
[tex]f(x) = 4x^2 +5x -3\\g(x)= 4x^3 - 3x^2 +5[/tex]
We need to find (f-g)(x)
(f-g)(x) is equal to f(x)-g(x)
So, finding (f-g)(x)
[tex](f-g)(x)=f(x)-g(x)\\(f-g)(x)=4x^2+5x-3-(4x^3-3x^2+5)\\(f-g)(x)=4x^2+5x-3-4x^3+3x^2-5\\Combining \ like \ terms:\\(f-g)(x)=-4x^3+3x^2+4x^2+5x-3-5\\(f-g)(x)=-4x^3+7x^2+5x-8[/tex]
So, after solving we get [tex]\mathbf{(f-g)(x)=-4x^3+7x^2+5x-8}[/tex]
Option A is correct option.
