2024 1st Semester Exam

Front

f(x) = x² + 9, g(x) = x - 9. Find f(x) - g(x).

Back

f(x) - g(x) = x² - x + 18.

Front

f(x) = 4x + 8, g(x) = x + 3. Find f(x) * g(x).

Back

f(x) * g(x) = 4x² + 20x + 24.

Front

Find the inverse of f(x) = -4x - 12.

Back

f⁻¹(x) = -1/4x - 3.

Front

f(x) = 3x + 10, g(x) = x - 2. Find f(g(0)).

Back

f(g(0)) = 4.

Front

What does it mean to find the inverse of a function?

Back

It means the x's and y's are switched.

Front

What is the definition of a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

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

Back

Substitute g(x) into f(x).

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.