Question

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

Answer 1

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

Explanation:

`(f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6`