Combination & Composition of Functions Flashcard

Combination & Composition of Functions Flashcard

Assessment

Flashcard

Mathematics

12th Grade

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

Define combination of functions.

Back

The combination of functions refers to the process of adding, subtracting, multiplying, or dividing two functions to create a new function.

2.

FLASHCARD QUESTION

Front

What is composition of functions?

Back

Composition of functions is the operation where one function is applied to the result of another function, denoted as (f ∘ g)(x) = f(g(x)).

3.

FLASHCARD QUESTION

Front

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

Back

(f + g)(x) = x^2 + (x + 1) = x^2 + x + 1.

4.

FLASHCARD QUESTION

Front

Calculate (f - g)(x) if f(x) = 2x + 3 and g(x) = x - 1.

Back

(f - g)(x) = (2x + 3) - (x - 1) = x + 4.

5.

FLASHCARD QUESTION

Front

What is the formula for (f * g)(x)?

Back

(f * g)(x) = f(x) * g(x), which means multiplying the outputs of f and g for the same input x.

6.

FLASHCARD QUESTION

Front

If f(x) = 3x and g(x) = 2x^2, find (f / g)(x).

Back

(f / g)(x) = 3x / (2x^2) = 3 / (2x) for x ≠ 0.

7.

FLASHCARD QUESTION

Front

Find f(g(2)) if f(x) = x^2 and g(x) = 3x + 1.

Back

g(2) = 3(2) + 1 = 7; then f(g(2)) = f(7) = 7^2 = 49.

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