(4) Let f(x) = Vx² + 1 +x. %3D Consider the function g(x) = f(x+3) – f(x) with domain the set of real numbers R. (i) (C Use the definition of the derivative to find f'(T). Find the intervals where the function g is increasing or (ii) decreasing. (iii) (.- , cts) Solve the inequality f (3(xª + 1)) – ƒ (3x*) + /10 3+ V37 -1 < 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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(4) Let
f (x) = Vx² + 1 +x.
Consider the function
g(x) = f(x+3) – f(x)
with domain the set of real numbers R.
(i) (C
Use the definition of the derivative to find f'(™).
Find the intervals where the function g is increasing or
(ii) .
decreasing.
(iii) (--ts) Solve the inequality
f (3(xª + 1)) – ƒ (3x*) + /10
3+ V37
-1< 0.
Transcribed Image Text:(4) Let f (x) = Vx² + 1 +x. Consider the function g(x) = f(x+3) – f(x) with domain the set of real numbers R. (i) (C Use the definition of the derivative to find f'(™). Find the intervals where the function g is increasing or (ii) . decreasing. (iii) (--ts) Solve the inequality f (3(xª + 1)) – ƒ (3x*) + /10 3+ V37 -1< 0.
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