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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
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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
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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