Determine the domain of each function. a. f(x) = √2x-5 b. g(x) = c. h(x) = x+5 X-6 √x+5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
Determine the domain of each function.
a. f(x)=√√2x - 5
b. g(x) =
c. h(x) =
d.
IN
x+5
X-6
√x+5
4
3
2
1
-1
-2
-3
T
A
1
2
3
4
5
Transcribed Image Text:Determine the domain of each function. a. f(x)=√√2x - 5 b. g(x) = c. h(x) = d. IN x+5 X-6 √x+5 4 3 2 1 -1 -2 -3 T A 1 2 3 4 5
Expert Solution
Step 1: [ a ]

The domain of a function is the set of all possible inputs for the function.

f left parenthesis x right parenthesis equals square root of 2 x minus 5 end root

r a d i c a l space c a n n o t space b e space n e g a t i v e
f left parenthesis x right parenthesis greater or equal than 0
square root of 2 x minus 5 end root greater or equal than 0
2 x minus 5 greater or equal than 0
2 x greater or equal than 5
x greater or equal than 2.5

D o m a i n space left square bracket space 2.5 space comma space infinity space right parenthesis

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