Operations with Functions

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

If f(x) = 4x + 8 and g(x) = x + 3, what is (f + g)(x)?

Back

(f + g)(x) = 5x + 11

Front

If f(x) = 4x + 8 and g(x) = x + 3, what is (f * g)(x)?

Back

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

Front

If f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1, what is (f + g)(x)?

Back

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

Front

Solve for y: 12 = y + 5

Back

y = 7

Front

What is the value of (f - g)(x) if f(x) = 5x^2 + 3x and g(x) = 8x^2 + 16x?

Back

(f - g)(x) = -3x^2 - 13x

Front

What is the definition of a function?

Back

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

Front

What does it mean for two functions to be equal?

Back

Two functions f(x) and g(x) are equal if f(x) = g(x) for all x in their domain.