Find the Domain of fif f(x) = 2(x – 7)2 Domain: > 0 O Domain: y >0 Domain: x is all real numbers O Domain: y is all real numbers

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the Domain of \( f^{-1} \), if \( f(x) = 2(x-7)^2 \)

- ⭕ Domain: \( x \geq 0 \)
- ⭕ Domain: \( y \geq 0 \)
- ⭕ Domain: \( x \) is all real numbers
- ⭕ Domain: \( y \) is all real numbers

The question asks to determine the domain of the inverse function \( f^{-1} \) for the given function \( f(x) = 2(x-7)^2 \). The correct option implies understanding the conditions required for the inverse to be valid. The function given is a quadratic expression that has been vertically stretched by a factor of 2 and translated horizontally by 7 units to the right. The possible options are provided to indicate the valid input values for the function's inverse.
Transcribed Image Text:Find the Domain of \( f^{-1} \), if \( f(x) = 2(x-7)^2 \) - ⭕ Domain: \( x \geq 0 \) - ⭕ Domain: \( y \geq 0 \) - ⭕ Domain: \( x \) is all real numbers - ⭕ Domain: \( y \) is all real numbers The question asks to determine the domain of the inverse function \( f^{-1} \) for the given function \( f(x) = 2(x-7)^2 \). The correct option implies understanding the conditions required for the inverse to be valid. The function given is a quadratic expression that has been vertically stretched by a factor of 2 and translated horizontally by 7 units to the right. The possible options are provided to indicate the valid input values for the function's inverse.
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