Composition & Operations with Functions Flashcard

Front

When f(x) = 9-3x and g(x) = 5x-7, find f(x) + g(x).

Back

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

Tags

CCSS.HSF-BF.A.1B

Front

f(x) = 4x + 8, g(x) = x + 3, find f(x) * g(x).

Back

f(x) * g(x) = 4x^2 + 20x + 24.

Tags

CCSS.HSF-BF.A.1B

Front

f(x) = 3x + 10, g(x) = x - 2, find f(g(5)).

Back

f(g(5)) = 19.

Tags

CCSS.HSF-BF.A.1C

Front

g(x) = 3x + 4, h(x) = 3x - 1, find g(h(x)).

Back

g(h(x)) = 9x + 1.

Tags

CCSS.HSF-BF.A.1C

Front

When f(x) = x^2 + 9 and g(x) = x - 9, find f(x) - g(x).

Back

f(x) - g(x) = x^2 - x + 18.

Tags

CCSS.HSF-BF.A.1B

Front

Definition of a function.

Back

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

Tags

CCSS.8.F.A.1

Front

What is function composition?

Back

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

Tags

CCSS.HSF-BF.A.1C

Front

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

Back

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

Tags

CCSS.HSF-BF.A.1C

Front

What is the difference between f(x) + g(x) and f(x) * g(x)?

Back

f(x) + g(x) is the sum of the functions, while f(x) * g(x) is the product of the functions.

Tags

CCSS.HSF-BF.A.1B

Front

How do you find the value of f(g(x))?

Back

Substitute g(x) into f(x) and simplify.

Tags

CCSS.HSF-BF.A.1C