What is (f⋅g)(x)?

f(x)=x^2+2x−6

g(x)=x^4+3

What is (f−g)(x)?

f(x)=x^3−2x^2+12x−6

g(x)=4x^2−6x+4

Guest May 17, 2019

#1**+3 **

What is (f ⋅ g)(x) ?

f(x) = x^{2} + 2x - 6

g(x) = x^{4} + 3

(f ⋅ g)(x) = f(x) ⋅ g(x) Substitute (x^{2} + 2x - 6) in for f(x) and substitute (x^{4} + 3) in for g(x)

(f ⋅ g)(x) = (x^{2} + 2x - 6) ⋅ (x^{4} + 3)

(f ⋅ g)(x) = (x^{2} + 2x - 6)(x^{4} + 3)

If you need to, you can expand the right side of the equation.

hectictar May 17, 2019

#2**+3 **

What is (f - g)(x) ?

f(x) = x^{3} - 2x^{2} + 12x - 6

g(x) = 4x^{2} - 6x + 4

(f - g)(x) = f(x) - g(x) Substitute (x^{3} - 2x^{2} + 12x - 6) in for f(x) and substitute (4x^{2} - 6x + 4) in for g(x)

(f - g)(x) = (x^{3} - 2x^{2} + 12x - 6) - (4x^{2} - 6x + 4)

(f - g)(x) = (x^{3} - 2x^{2} + 12x - 6) - (4x^{2} - 6x + 4)

If you need to, you can simplify this by distributing the -1 outside the parenthesees and combining like terms.

hectictar May 17, 2019