Domanda del libro di testo
Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(x + 2)
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 55
Add or subtract, as indicated. See Example 4. (5/12x²y) - (11/6xy)
Guida verificata passo dopo passo1
Identify the two fractions to be subtracted: \(\frac{5}{12x^{2}y}\) and \(\frac{11}{6xy}\).
Find the least common denominator (LCD) of the two fractions. The denominators are \$12x^{2}y$ and \$6xy$. Determine the LCD by taking the least common multiple of the numerical coefficients and the highest powers of variables present.
Rewrite each fraction with the LCD as the new denominator by multiplying numerator and denominator appropriately to create equivalent fractions.
Subtract the numerators of the equivalent fractions while keeping the LCD as the common denominator: \(\frac{\text{new numerator 1} - \text{new numerator 2}}{\text{LCD}}\).
Simplify the resulting expression by combining like terms in the numerator and reducing the fraction if possible.
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Finding a Common Denominator
To add or subtract fractions, they must have the same denominator. This involves finding the least common denominator (LCD), which is the least common multiple of the denominators. For algebraic expressions, the LCD includes all variable factors with the highest powers present.
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Percorso guidato
2:58
Rationalizing Denominators
Simplifying Algebraic Fractions
Simplifying algebraic fractions requires factoring numerators and denominators to cancel common factors. This process reduces the expression to its simplest form, making addition or subtraction easier and the final answer clearer.
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Percorso guidato
4:02Solving Linear Equations with Fractions
Combining Fractions by Addition or Subtraction
Once fractions share a common denominator, add or subtract their numerators while keeping the denominator unchanged. After combining, simplify the resulting fraction if possible by factoring and reducing common terms.
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Percorso guidato
4:02Solving Linear Equations with Fractions
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Domanda del libro di testo
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