Composition of Functions

Composition of Functions

Assessment

Flashcard

Mathematics

11th Grade

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the composition of functions?

Back

The composition of functions is a process where one function is applied to the result of another function. It is denoted as (f◦g)(x) = f(g(x)).

2.

FLASHCARD QUESTION

Front

If f(x) = 2x and g(x) = x + 3, what is (f◦g)(x)?

Back

(f◦g)(x) = f(g(x)) = f(x + 3) = 2(x + 3) = 2x + 6.

3.

FLASHCARD QUESTION

Front

What is the formula for (f⋅g)(x)?

Back

The formula for (f⋅g)(x) is f(x) * g(x), which means you multiply the outputs of both functions.

4.

FLASHCARD QUESTION

Front

If f(x) = x^2 and g(x) = 3x, what is (g◦f)(x)?

Back

(g◦f)(x) = g(f(x)) = g(x^2) = 3(x^2) = 3x^2.

5.

FLASHCARD QUESTION

Front

What does it mean for two functions to be inverses?

Back

Two functions f and g are inverses if (f◦g)(x) = x and (g◦f)(x) = x for all x in the domain.

6.

FLASHCARD QUESTION

Front

If f(x) = x + 1 and g(x) = 2x, what is (f◦g)(2)?

Back

(f◦g)(2) = f(g(2)) = f(2*2) = f(4) = 4 + 1 = 5.

7.

FLASHCARD QUESTION

Front

What is the difference between (f◦g)(x) and (f⋅g)(x)?

Back

(f◦g)(x) is the composition of functions, while (f⋅g)(x) is the product of the functions.

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