(4) For the functions f(x) = Vx - 3 and g(x) = vx + 2, find and determine the domain in each case: (a) gf %3D (b) f+g (5) For the functions f(x) and g(x) 3 + 4, find f(g(x)) and g(f(x)), hence or х— 4 X otherwise determine whether g(x) is the inverse of f(x).

(4) For the functions f(x) = Vx - 3 and g(x) = vx + 2, find and determine the domain in each case: (a) gf %3D (b) f+g (5) For the functions f(x) and g(x) 3 + 4, find f(g(x)) and g(f(x)), hence or х— 4 X otherwise determine whether g(x) is the inverse of f(x).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 2E: Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b)...

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Question

Need help with question 4 and 5

(4) For the functions f(x) = vx - 3 and g(x) = Vx + 2, find and determine the domain
in each case: (a) gf
(b) f+g
3
and g(x)
3
(5) For the functions f(x)
==+ 4, find f(g(x)) and g(f(x)), hence or
х— 4
X
otherwise determine whether g(x) is the inverse of f(x).
(6)
(a) Using the remainder theorem, determine whether (x – 4) and (x – 1) are factors
of the expression x3 + 3 x2 – 22 x – 24.
(b) Hence, by use of long divison, find all remaining factors of the expression.

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