write your own defenition and steps on performing each function operations addition, subtraction, multiplication, division, composition
Answers
Step-by-step explanation:
We can add, subtract, multiply and divide functions!
The result is a new function.
Let us try doing those operations on f(x) and g(x):
add
Addition
We can add two functions:
(f+g)(x) = f(x) + g(x)
Note: we put the f+g inside () to show they both work on x.
Example: f(x) = 2x+3 and g(x) = x2
(f+g)(x) = (2x+3) + (x2) = x2+2x+3
Subtraction
We can also subtract two functions:
(f-g)(x) = f(x) − g(x)
Example: f(x) = 2x+3 and g(x) = x2
(f-g)(x) = (2x+3) − (x2)
Multiplication
We can multiply two functions:
(f·g)(x) = f(x) · g(x)
Example: f(x) = 2x+3 and g(x) = x2
(f·g)(x) = (2x+3)(x2) = 2x3 + 3x2
Division
And we can divide two functions:
(f/g)(x) = f(x) / g(x)
Example: f(x) = 2x+3 and g(x) = x2
(f/g)(x) = (2x+3)/x2
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