This exercise is based on the following functions. f(x) = x² + 5 with domain (-∞, +∞) g(x) = x – 5 with domain (-∞, +∞) h(x) = x + 6 with domain [41, +∞) u(x) = Vx + 41 with domain [-41, 0) v(x) = V 41 – x with domain (0, 41) For q = ;a = 5, do the following. (a) Write a formula for the indicated function. V41 – x = (x)b x - 5 (b) Give the function's domain. (Enter your answer using interval notation.) (-00,5) U (0,41) (c) Specify the function's value at the given point a = 5, if defined. (If an answer is undefined, enter UNDEFINED.) q(5) = UNDEFINED

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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This exercise is based on the following functions.
f(x) = x + 5 with domain (-∞, +∞)
g(x)
= x - 5 with domain (-∞, +∞)
= x + 6 with domain [41, +∞)
h(x)
u(x) :
= Vx + 41 with domain [-41, 0)
v(x) =
41
x with domain (0, 41)
%3D
For g =
V
-; a =
5, do the following.
(a) Write a formula for the indicated function.
V41 – x
q(x)
х — 5
(b) Give the function's domain. (Enter your answer using interval notation.)
(-00,5) U (0,41)
(c) Specify the function's value at the given point a =
5, if defined. (If an answer is undefined, enter UNDEFINED.)
q(5) = |UNDEFINED
Transcribed Image Text:This exercise is based on the following functions. f(x) = x + 5 with domain (-∞, +∞) g(x) = x - 5 with domain (-∞, +∞) = x + 6 with domain [41, +∞) h(x) u(x) : = Vx + 41 with domain [-41, 0) v(x) = 41 x with domain (0, 41) %3D For g = V -; a = 5, do the following. (a) Write a formula for the indicated function. V41 – x q(x) х — 5 (b) Give the function's domain. (Enter your answer using interval notation.) (-00,5) U (0,41) (c) Specify the function's value at the given point a = 5, if defined. (If an answer is undefined, enter UNDEFINED.) q(5) = |UNDEFINED
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