The functions f, g, and h are defined as follows. -2 f(x)=-3+/x+9 g(x)= -5+x h (x) = -10 - Find f(-5), g(-5), and h (4). Simplify your answers as much as possible. 3/2

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...
Question
Simplify
The functions \( f, g, \) and \( h \) are defined as follows:

\[ f(x) = -3 + \sqrt{x + 9} \]

\[ g(x) = \frac{x^2 - 2}{-5 + x} \]

\[ h(x) = \left| \frac{3}{2}x - 10 \right| \]

Find \( f(-5) \), \( g(-5) \), and \( h(4) \).

Simplify your answers as much as possible.

There is a section with three input boxes, presumably for the user to calculate and enter the values of \( f(-5) \), \( g(-5) \), and \( h(4) \).

Additionally, there is a sidebar with icons that may be used for inputting mathematical symbols or checking the answers.

Below the input section, there are buttons labeled "Explanation" and "Check" for further guidance or to verify responses.
Transcribed Image Text:The functions \( f, g, \) and \( h \) are defined as follows: \[ f(x) = -3 + \sqrt{x + 9} \] \[ g(x) = \frac{x^2 - 2}{-5 + x} \] \[ h(x) = \left| \frac{3}{2}x - 10 \right| \] Find \( f(-5) \), \( g(-5) \), and \( h(4) \). Simplify your answers as much as possible. There is a section with three input boxes, presumably for the user to calculate and enter the values of \( f(-5) \), \( g(-5) \), and \( h(4) \). Additionally, there is a sidebar with icons that may be used for inputting mathematical symbols or checking the answers. Below the input section, there are buttons labeled "Explanation" and "Check" for further guidance or to verify responses.
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