This lesson will teach you how to perform operations on functions. Basically, you can add, subtract, multiply, and divide functions. Let f and g be functions.
Addition
( f + g )(x) = f(x) + g(x)
Example
Find f + g if f(x) = 2x - 7 and g(x) = 5x + 8
(f + g)(x) = f(x) + g(x)
= 2x - 7 + 5x + 8
= 2x + 5x + - 7 + 8
= 7x + 1
Subtraction
( f - g )(x) = f(x) - g(x)
Example
Find f - g if f(x) = 3x + 9 and g(x) = 6x - 3
(f - g)(x) = f(x) - g(x)
= 3x + 9 - (6x - 3)
= 3x + 9 - 6x - - 3
= 3x + 9 - 6x + 3
= 3x - 6x + 9 + 3
= -3x + 12
Feb 17, 19 12:04 PM
There is no rational number whose square is 2. An easy to follow proof by contraction.
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Feb 17, 19 12:04 PM
There is no rational number whose square is 2. An easy to follow proof by contraction.