Domanda del libro di testo
Use the table to evaluate the given compositions. <IMAGE>
ƒ(ƒ(h(3)))
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Ch. 1 - Functions
Briggs3rd EditionCalculus: Early TranscendentalsISBN: 9780136847243
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TOC.tableOfContents
- Ch. 1 - Functions210
- Ch. 2 - Limits371
- Ch. 3 - Derivatives633
- Ch. 4 - Applications of the Derivative412
- Ch. 5 - Integration328
- Ch. 6 - Applications of Integration331
- Ch. 7 - Logarithmic, Exponential Functions, and Hyperbolic Functions177
- Ch. 8 - Integration Techniques394
- Ch. 9 - Differential Equations179
- Ch. 10 - Sequences and Infinite Series339
- Ch. 11 - Power Series218
- Ch.12 - Parametric and Polar Curves215
Briggs3rd EditionCalculus: Early TranscendentalsISBN: 9780136847243Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 16d
Use the table to evaluate the given compositions. <IMAGE>
g(h(ƒ(4)))
Guida verificata passo dopo passo1
Identify the innermost function in the composition, which is \( f(4) \).
Use the table to find the value of \( f(4) \).
Substitute the value of \( f(4) \) into the next function, \( h(f(4)) \).
Use the table to find the value of \( h(f(4)) \).
Substitute the value of \( h(f(4)) \) into the outermost function, \( g(h(f(4))) \), and use the table to find the final value.
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Function Composition
Function composition involves combining two or more functions to create a new function. If you have functions f, g, and h, the composition g(h(f(x))) means you first apply f to x, then apply h to the result of f, and finally apply g to the result of h. Understanding how to evaluate compositions is crucial for solving problems that involve multiple functions.
Video consigliato:
3:48
Evaluate Composite Functions - Special Cases
Evaluating Functions
Evaluating functions requires substituting a specific input value into the function's formula. For example, if f(x) = x + 2, then f(4) = 4 + 2 = 6. This process is essential for function composition, as each function's output becomes the input for the next function in the composition.
Video consigliato:
Percorso guidato
4:26Evaluating Composed Functions
Order of Operations
The order of operations dictates the sequence in which mathematical operations should be performed to ensure accurate results. In function composition, this means evaluating from the innermost function to the outermost. This principle is vital when dealing with nested functions, as it affects the final outcome of the composition.
Video consigliato:
02:42Higher Order Derivatives
Pratica correlata
Domanda del libro di testo
Use the table to evaluate the given compositions. <IMAGE>
g(ƒ(4))
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Domanda del libro di testo
Use the table to evaluate the given compositions. <IMAGE>
h(h(h(0)))
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Domanda del libro di testo
Use the graphs of ƒ and g in the figure to determine the following function values. y = f(x) ; y=g(x) <IMAGE>
e. ƒ(ƒ(8))
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Use the graphs of ƒ and g in the figure to determine the following function values. y = f(x) ; y=g(x) <IMAGE>
d. g(ƒ(5))
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Domanda del libro di testo
Use the table to evaluate the given compositions. <IMAGE>
g(ƒ(h(4)))
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