Explain algebra of real functions
Dear Student,
It is simply adding , subtracting , multiplying, dividing polynomial equation.
- Addition: (f + g)(x) = f(x) + g(x)
- Subtraction: (f - g)(x) = f(x) - g(x)
- Multiplication: (f ⋅ g)(x) = f(x) ⋅ g(x)
- Division: (f / g)(x) = f(x) / g(x), where g(x) ≠ 0
(2x + 5y) + (3x – 2y)
= 2x + 5y + 3x – 2y
= 2x + 3x + 5y – 2y
= 5x + 3y
or
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2)
And
Divide 2x2 +3x+1 by x+2
and