Math, asked by anxiella, 5 months ago

write your own defenition and steps on performing each function operations addition​, subtraction, multiplication, division, composition

Answers

Answered by PayalGiri
14

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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