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Independent Practice Find the domain and range of the following rational function. Use any notation. 2 1. f(x) = x+1 3x 2. f(x) x+3 3- x 3. f(x) = X-7 2+x 4. f(x) x (x + 1) 5. f(x) = x²-1

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Independent Practice Find The Domain And Range Of The Following Rational Function Use Any Notation 2 1 Fx X1 3x 2 Fx X3 3 X 3 Fx X7 2x 4 Fx X X 1 5 Fx X1PAHELP class=

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Answer:

A rational equation is an equation that contains fractions with xs in the numerator, denominator or both. Here is an example of a rational equation: (4 / (x + 1)) - (3 / (x - 1)) = -2 / (x^2 - 1).

Let's think back for a moment about solving an equation with a fraction. 1/3 x = 8. We think of the 3 in the denominator as being a prisoner, and we want to release it. To set the 3 free, we multiply both sides of the equation by 3. Think of it as 3 letting both sides of the equation know he's leaving. 3 (1/3 x) = 8 (3).

This process freed our denominator and got rid of the fraction - x = 24. It is also the process we use to solve rational equations with one extra step. In rational equations, sometimes our solution may look good, but they carry a virus; that is, they won't work in our equation. These are called extraneous solutions. The steps to solve a rational equation are:

Find the common denominator.

Multiply everything by the common denominator.

Simplify.

Check the answer(s) to make sure there isn't an extraneous solution.

Let's solve a couple together.

Step-by-step explanation:

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