Let f(x)=x² and g(x)=x+3. Determine an equation for each composite function. 6. y=f(g(x)) A. B. C. D. x²+6x+9 x+5x+9 x²+6x+1 x²+3x+9 7. y=g(f(x)) A. x²+3 8. y=f (f(x)) A. x 4 9. y=g(g(x)) A. X-6 10. y=g¹(g(x)) A. Χ B. B. C. D. x²-3 x²+6 x+3 C. x²+3 +3 D. x-8 B. x+6 C. x+4 D. x-4 B. C. D. x-1 x+1 x²+3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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Let f(x)=x² and g(x)=x+3. Determine an equation for each composite function.
6. y=f(g(x))
A.
B.
C.
D.
x²+6x+9
x+5x+9
x²+6x+1
x²+3x+9
7. y=g(f(x))
A.
x²+3
8. y=f (f(x))
A.
x
4
9. y=g(g(x))
A.
X-6
10. y=g¹(g(x))
A.
Χ
B.
B.
C.
D.
x²-3
x²+6
x+3
C.
x²+3
+3
D.
x-8
B.
x+6
C.
x+4
D.
x-4
B.
C.
D.
x-1
x+1
x²+3
Transcribed Image Text:Let f(x)=x² and g(x)=x+3. Determine an equation for each composite function. 6. y=f(g(x)) A. B. C. D. x²+6x+9 x+5x+9 x²+6x+1 x²+3x+9 7. y=g(f(x)) A. x²+3 8. y=f (f(x)) A. x 4 9. y=g(g(x)) A. X-6 10. y=g¹(g(x)) A. Χ B. B. C. D. x²-3 x²+6 x+3 C. x²+3 +3 D. x-8 B. x+6 C. x+4 D. x-4 B. C. D. x-1 x+1 x²+3
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