5.5 Review

5.5 Review

Assessment

Flashcard

Mathematics

10th - 11th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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 way to combine two functions, denoted as (g∘f)(x) = g(f(x)). It means you apply the function f first and then apply the function g to the result.

2.

FLASHCARD QUESTION

Front

If f(x) = 2x - 8 and g(x) = 4x, what is g(f(x))?

Back

g(f(x)) = g(2x - 8) = 4(2x - 8) = 8x - 32.

3.

FLASHCARD QUESTION

Front

What does the notation (f + g)(x) represent?

Back

The notation (f + g)(x) represents the sum of two functions, defined as (f + g)(x) = f(x) + g(x).

4.

FLASHCARD QUESTION

Front

If f(x) = x^2 + 25 and g(x) = x - 5, what is (f + g)(x)?

Back

(f + g)(x) = (x^2 + 25) + (x - 5) = x^2 + x + 20.

5.

FLASHCARD QUESTION

Front

What is the difference of functions?

Back

The difference of functions is denoted as (f - g)(x) = f(x) - g(x). It represents the subtraction of one function from another.

6.

FLASHCARD QUESTION

Front

If f(x) = x^2 + x and g(x) = 3x + 1, what is g(f(-2))?

Back

g(f(-2)) = g(2) = 3(2) + 1 = 7.

7.

FLASHCARD QUESTION

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from its domain.

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