Q. 1 a) Find the domains and ranges of the functions f, g, f+g, f.g and where f(x) = Jx+1, g(x) = /x-1 b) If f{x)= \x , g(x) · and h(x)= 4x-8, find formulas for the following 4 (i) h(f(g(x))) (ii) g(h(f(x))) (iii) h(f(g(x))).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 31E
icon
Related questions
Question

differential equat

Q. 1
a) Find the domains and ranges of the functions f, g, ftg, f.g and
where
f(x) = Jx+1, g(x) = /x-1
b) If f(x) = \x , g(x) =
and h(x)= 4x-8, find formulas for the following
4
%3D
(i) h(f(g(x))) (ii) g(h(f(x))) (iii) h(f(g(x))).
Transcribed Image Text:Q. 1 a) Find the domains and ranges of the functions f, g, ftg, f.g and where f(x) = Jx+1, g(x) = /x-1 b) If f(x) = \x , g(x) = and h(x)= 4x-8, find formulas for the following 4 %3D (i) h(f(g(x))) (ii) g(h(f(x))) (iii) h(f(g(x))).
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Numerical Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning