Question

If f(x)=4x^2+1 and g(x) =x^2-5 find (f-g)(x)

Answer 1

Answer:

$\huge\boxed{(f-g)(x)=3x^2+6}$

Step-by-step explanation:

$(f-g)(x)=f(x)(x)\\\\\text{substitute}\ f(x)=4x^2+1\ \text{and}\ g(x)=x^2-5\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)=4x^2+1-x^2+5\\\\\text{combine like terms}\\\\(f-g)(x)=(4x^2-x^2)+(1+5)=3x^2+6$