Composition & Operations with Functions Flashcard

Front

What is the restriction for the function f(x) = 3x² - 2x + 1 divided by g(x) = x - 4?

Back

x ≠ 4

Front

Find f(x) + g(x) when f(x) = 9 - 3x and g(x) = 5x - 7.

Back

2x + 2

Front

Calculate f(x) * g(x) for f(x) = 4x + 8 and g(x) = x + 3.

Back

4x² + 20x + 24

Front

What is the value of f(g(4)) if f(x) = x² + x and g(x) = 3x + 1?

Back

182

Front

Determine f(x) - g(x) when f(x) = x² + 9 and g(x) = x - 9.

Back

x² - x + 18

Front

Define a function.

Back

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

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Explain the concept of function composition.

Back

Function composition is the process of applying one function to the results of another function.

Front

What is the formula for adding two functions f(x) and g(x)?

Back

(f + g)(x) = f(x) + g(x)