Operations of Functions Review

Front

What is the product of two functions f(x) = 4x + 8 and g(x) = x + 3?

Back

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

Front

How do you find the sum of two functions f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1?

Back

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

Front

What is the value of h(-1) if h(x) = 3x^2 - 2x + 8?

Back

h(-1) = 13.

Front

How do you evaluate g(-2) if g(x) = 2x^2 - x - 1?

Back

g(-2) = -24.

Front

What is the result of the operation (f/g)(-3) if f(x) = x^2 + 5 and g(x) = 2x^3 - 1?

Back

(f/g)(-3) = -14/55.

Front

Define the term 'function'.

Back

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

Front

What is the definition of the sum of functions?

Back

The sum of functions f and g, denoted (f + g)(x), is defined as f(x) + g(x).

Front

What is the definition of the product of functions?

Back

The product of functions f and g, denoted (f * g)(x), is defined as f(x) * g(x).

Front

What does it mean to evaluate a function at a specific point?

Back

To evaluate a function at a specific point means to substitute that point into the function's equation.

Front

What is the formula for finding the difference of two functions?

Back

The difference of functions f and g, denoted (f - g)(x), is defined as f(x) - g(x).