(d) 4 (e) fog (f) gof

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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answer #9 d, e, and f please

8. Determine whether the equation is symmetric to the r-axis, the y-axis, the origin or none of these.
(a) 4r? + 4y? = 20
x = y³ + 3
(c) z* + (y – 2)4 = 4
(b) z =
9. If f(x) = r – 3z +2 and g(x) = 4 – 3z, find the following functions and their domains.
(a) f+g
(b) f - 9
(c) fg
(d) 4
(e) fog
(f) gof
10. If f(x) = 1+a? and g(r) = VI – 1, find the following.
(a) fog
(b) gof
(c) (f og)(2)
(d) (f o f)(2)
(e) fogof
(f) gofog
Transcribed Image Text:8. Determine whether the equation is symmetric to the r-axis, the y-axis, the origin or none of these. (a) 4r? + 4y? = 20 x = y³ + 3 (c) z* + (y – 2)4 = 4 (b) z = 9. If f(x) = r – 3z +2 and g(x) = 4 – 3z, find the following functions and their domains. (a) f+g (b) f - 9 (c) fg (d) 4 (e) fog (f) gof 10. If f(x) = 1+a? and g(r) = VI – 1, find the following. (a) fog (b) gof (c) (f og)(2) (d) (f o f)(2) (e) fogof (f) gofog
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