For Q12 – 13, consider_f(x)=√1-x_and_g(x)=x². 12. What is (fog)(x) ? A. 1-x C. X D. x²√1-x B. √1-x 13. What is the domain and range of (fog)(x) ? A. B. C. D. Domain Domain Domain Domain = { x=R,x≤1 } Range = { XER, x≤1 } Range = { XER,-1≤x≤1 } = { x=R,-1≤x≤1 } Range Range = { YER } = { YER,y≥0 } = { YER,y≥0 } = { YEIR }

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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For Q12 - 13, consider f(x)=√1-x and g(x)=x².
12.
What is (fog)(x) ?
2
A.
1-x
B. √1-x²
C. X
D. X²√1-X
13.
What is the domain and range of (fog)(x) ?
A.
B.
C.
D.
Domain
Domain
Domain
Domain
= { XER, x≤1 }
Range
= { xER,x≤1 }
Range
= { XER,-1≤x≤1 } = { x=R,-1≤x≤1 }
Range
Range
= { YER }
= { YER,y20 }
= { YER,y≥0 }
= { YER }
Transcribed Image Text:For Q12 - 13, consider f(x)=√1-x and g(x)=x². 12. What is (fog)(x) ? 2 A. 1-x B. √1-x² C. X D. X²√1-X 13. What is the domain and range of (fog)(x) ? A. B. C. D. Domain Domain Domain Domain = { XER, x≤1 } Range = { xER,x≤1 } Range = { XER,-1≤x≤1 } = { x=R,-1≤x≤1 } Range Range = { YER } = { YER,y20 } = { YER,y≥0 } = { YER }
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