Problem 65
Question
Add or subtract as indicated. Simplify the result, if possible. $$4+\frac{1}{x-3}$$
Step-by-Step Solution
Verified Answer
The answer is \( 4 + \frac{1}{x-3} \), which can't be simplified further.
1Step 1: Identify the operands
The operands in the addition operation are 4 and \( \frac{1}{x-3} \).
2Step 2: Perform the addition
Since the addition here is between a constant and a fraction, the result will have a fraction part. So the next step involves adding the two operands together, which would result in \( 4 + \frac{1}{x-3} \) .
3Step 3: Simplify the result
In this case, the result cannot be simplified further as there aren't any like terms. So, \( 4 + \frac{1}{x-3} \) is the simplified result.
Other exercises in this chapter
Problem 65
Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{4 x-6}{3-2 x}$$
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Simplify completely. \(\frac{2 y}{2+\frac{2}{y}}+\frac{y}{1+\frac{1}{y}}\)
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Perform the indicated operation or operations. $$\left(\frac{y-2}{y^{2}-9 y+18} \cdot \frac{y^{2}-4 y-12}{y+2}\right) \div \frac{y^{2}-4}{y^{2}+5 y+6}$$
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Explain how to find restrictions on the variable in a rational equation.
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