OPERATION ON FUNCTION Flashcards
(f+g) (x) =f(x) + g(x)
ADDITION ON FUNCTION
RULES ON ADDITION AND SUBTRACTION
+ + ADDITION +
+ - SUBTRACTION + OR -
- + SUBTRACTION - OR +
- - ADDITION +
(f+g) (x) IF f(x) = 3x + 4, g(x) = 7x - 8
(f+g) (x) = f(x) + g(x)
(f+g) (x) = 3x + 4 + 7x - 8
(f+g) (x) = 10x -4
(f-g) (x) = f(x) - g(x)
DUBTRACTION ON FUNCTION
(f-g) (x) = f(x) - g(x) IF f(x) = 7x + 2, g(x) = 5x + 4
> WRITE THE PATTERN/ FORMULA.
SUBSTITUTE THE VALUE OF f(x) AND g(x); DISTRIBUTE NEGATIVE TO g(x).
PROCEED TO ADDITION / COMBINE LIKE TERMS.
(fg) (x)
MULTIPLICATION OF FUNCTION
(fg) (x) IF f(x) = X-2, g(x) = 2x - 3
(fg) (x) = f(x) .g(x)
(fg) (x) = (x-2) (2x-3)
(fg) (x) = 2X2 - 3x - 4x + 6
(fg) (x) = 2x2 - 7x + 6
> WRITE THE PATTERN
SUBSTITURE THE VALUE OF f(x) AND g(x)
COMBINE THE LIKE TERMS.
FINAL ANSWER
(f/g) (x) = f(x) / g(x)
DIVISION OF FUNCTION