19. It is given that f(x)=√x and g(x)=√√-x, then what is the domain and range for f(x)=√x_and_g(x)=√√−x f(x)+g(x) ? A. Domain= {xЄR }, Range={_yЄIR,y≥0 } B. Domain = {XER }, Range = { yЄRy>0 } C. Domain= {_xЄR,x=0 }, Range = {_yЄR,y=0} D. Domain= {_xЄR,x=0 }, Range={_yЄR, y≥0 } 20. The figure shows the graph of y=log₁x and the graph of _y=log x on the same rectangular coordinate system, where a and b are positive constants. A vertical line cuts the two graphs at point A and B respectively and it cuts the x-axis at point C. Which of the following is/are true? I. a>1 II. a>b AB III. =loga BC y=log₁x B y=logb x A. I only B. II only C. I and III only D. II and III only
19. It is given that f(x)=√x and g(x)=√√-x, then what is the domain and range for f(x)=√x_and_g(x)=√√−x f(x)+g(x) ? A. Domain= {xЄR }, Range={_yЄIR,y≥0 } B. Domain = {XER }, Range = { yЄRy>0 } C. Domain= {_xЄR,x=0 }, Range = {_yЄR,y=0} D. Domain= {_xЄR,x=0 }, Range={_yЄR, y≥0 } 20. The figure shows the graph of y=log₁x and the graph of _y=log x on the same rectangular coordinate system, where a and b are positive constants. A vertical line cuts the two graphs at point A and B respectively and it cuts the x-axis at point C. Which of the following is/are true? I. a>1 II. a>b AB III. =loga BC y=log₁x B y=logb x A. I only B. II only C. I and III only D. II and III only
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
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Transcribed Image Text:19.
It is given that f(x)=√x and g(x)=√√-x, then what is the domain and range for
f(x)=√x_and_g(x)=√√−x
f(x)+g(x) ?
A.
Domain= {xЄR }, Range={_yЄIR,y≥0 }
B.
Domain = {XER }, Range = { yЄRy>0 }
C.
Domain= {_xЄR,x=0 }, Range = {_yЄR,y=0}
D.
Domain= {_xЄR,x=0 }, Range={_yЄR, y≥0 }
20.
The figure shows the graph of y=log₁x and the graph of _y=log x on the same
rectangular coordinate system, where a and b are positive constants. A vertical line cuts the two
graphs at point A and B respectively and it cuts the x-axis at point C. Which of the following
is/are true?
I.
a>1
II.
a>b
AB
III.
=loga
BC
y=log₁x
B
y=logb x
A. I only
B. II only
C. I and III only
D. II and III only
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