Operations with Functions and Composition of Functions

Front

What is the sum of two functions f(x) and g(x)?

Back

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

Tags

CCSS.HSF-BF.A.1B

Front

How do you find the composition of two functions g(h(x))?

Back

Substitute h(x) into g(x).

Tags

CCSS.HSF-BF.A.1C

Front

What is the definition of function composition?

Back

Function composition is the application of one function to the results of another, denoted as (f ∘ g)(x) = f(g(x)).

Tags

CCSS.HSF-BF.A.1C

Front

What is the difference between two functions f(x) and g(x)?

Back

(f - g)(x) = f(x) - g(x).

Tags

CCSS.HSF-BF.A.1B

Front

What is the product of two functions f(x) and g(x)?

Back

(f * g)(x) = f(x) * g(x).

Tags

CCSS.HSF-BF.A.1B

Front

If f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1, find (f + g)(x).

Back

(f + g)(x) = 5x^2 + 6x - 1.

Tags

CCSS.HSF-BF.A.1B

Front

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

Back

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

Tags

CCSS.HSF-BF.A.1C

Front

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

Back

f(g(x)) = 2x^2 + 6.

Tags

CCSS.HSF-BF.A.1C

Front

If 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

If f(x) = 4x + 1 and g(x) = 4x - 3, find f(x) * g(x).

Back

f(x) * g(x) = 16x^2 - 8x - 3.

Tags

CCSS.HSF-BF.A.1B