2nd NW Extra Credit

Front

What is the solution to the equation that results in 6?

Back

The solution is 6.

Front

What can be said about the solutions of an equation that has two positive solutions?

Back

The equation has two positive solutions.

Front

If f(x) = x² - 3x and g(x) = 4x + 2, what is f(g(3))?

Back

f(g(3)) = 154.

Front

If the domain of f(x) is x ≥ 4, what is the range of f⁻¹(x)?

Back

The range of f⁻¹(x) is y ≥ 4.

Front

Are fog(x) and gof(x) inverses of each other?

Back

False.

Front

What is the definition of a function's domain?

Back

The domain of a function is the set of all possible input values (x) for which the function is defined.

Front

What is the definition of a function's range?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

What does it mean for two functions to be inverses of each other?

Back

Two functions are inverses if their composition results in the identity function.

Front

How do you find the composition of two functions f and g?

Back

To find the composition, calculate f(g(x)) or g(f(x)).

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that does not satisfy the original equation.