Brian McLogan
3 Easy Rational Expressions to Combine
In this video we are going to focus on adding and subtracting rational expressions with different denominators. 00:00:00 Intro 00:00:52 - Adding Fractions Review 00:02:34 - Common mistake students make when combining fractions 00:03:11 -...
Brian McLogan
Main things you need to know on finding the domain of a rational function
In this video I will explain the main points you need to know to understand how to find the domain of a rational expression. For each point I will apply some examples. ⭐ Find the domain of a rational function practice - • Find the domain...
Brian McLogan
Why is subtracting soooo much harder with Rational Expressions?
In this video I cover the difference between adding and subtracting rational expressions. I take a look at how the difference cannot only make a difference on your final solution but also in the process that you follow. ⭐️ My Five Step...
Brian McLogan
The Absolute Worst Mistake Students Make With Rational Expressions
Here is a mistake that I see students make when they are first learning how to simplify rational expressions to seasoned math students. So it is important to go over the rules and remember. ⭐️ Why is subtracting soooo much harder with...
Brian McLogan
great problem for those that struggle with factoring and simplifying
Simplifying radicals includes a lot of factoring so sometimes you need a problem where you can tackle multiple different types of problems. In this video that is exactly what we focus on doing. ⭐️ What Exactly are Excluded Values and How...
Brian McLogan
Given rational function find the vertical asymptote and hole
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Brian McLogan
Determine the left and right hand limits using infinity of a function
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Evaluate left hand limits algebraically of a rational function
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Curated Video
Identifying Extraneous Solutions in Rational Equations
In this video, the teacher explains how to check for extraneous solutions in rational equations. They demonstrate the process step by step, emphasizing the importance of isolating x and avoiding 0 as a denominator.
Brian McLogan
How to rationalize the radical to evaluate a limit
👉 Learn how to evaluate the limit of a function by rationalizing the radical. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit...
Brian McLogan
Evaluting the left and right hand limit by understanding the parent graph
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Evaluate the limit of a rational expression with a hole
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Evaluate the left hand limit at an asymptote algebraically
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Determine the left and right hand limits at infinity of a function
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
How to evaluate the limit at the end of a radical graph left right and general
👉 Learn how to evaluate the limit of a function by rationalizing the radical. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit...
Brian McLogan
How do we add and subtract rational expressions
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Using trig limits to evaluate the limit
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
How to evaluate left and right hand limits of reciprocal function
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Learn how to add, subtract, multiply and divide two fractions, 3/4 + 2/3
👉 Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Combining rational expression with like denominators
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Brian McLogan
Adding two rational monomials
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Brian McLogan
Learn how to add two functions rational
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Dividing rational expressions
👉 Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...