Function Operations Practice

Front

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

Back

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

Front

How do you find the difference of two functions f(x) and g(x)?

Back

(f - g)(x) = f(x) - g(x) (Remember to distribute the negative sign!)

Front

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

Back

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

Front

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

Back

(f / g)(x) = f(x) / g(x) (g(x) must not be zero)

Front

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

Back

(f + g)(x) = 3x + 2

Front

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

Back

(f - g)(x) = x^2 - 4

Front

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

Back

(f * g)(x) = (3x^2 + 1)(2x) = 6x^3 + 2x

Front

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

Back

(f / g)(x) = (x + 5) / x^2

Front

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

Back

(f + g)(2) = 2^2 + 3(2) = 4 + 6 = 10

Front

What does it mean to 'distribute the negative sign' when subtracting functions?

Back

It means to subtract each term of g(x) from f(x), changing the signs of g(x)'s terms.