2x+3 (1) Find the domain of the function H(x)=- x' -4x (2) Solve the following

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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Problem Set C
2x+3
(1) Find the domain of the function H(x)=
x' - 4x
(2) Solve the following
(i) |10–3x|517
(ii) x? - 6x >13.
(3) Showing all your working, find the solution set which describes the area shown in purple
below.
10-
y
8-
10
Transcribed Image Text:Problem Set C 2x+3 (1) Find the domain of the function H(x)= x' - 4x (2) Solve the following (i) |10–3x|517 (ii) x? - 6x >13. (3) Showing all your working, find the solution set which describes the area shown in purple below. 10- y 8- 10
Problem Set D
(1) If you have been hired at an annual salary of $23,000 and expect to receive annual
increases of 5%, what will your salary be when you begin your seventh year?
3x
(2) Determine the inverse of the function f(x) =-
2.x-5
(3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability
and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches
wide and the top rung is 19 inches wide. Stating explicitly the formulae used,
determine:
(i) How many rungs does the ladder have if each rung is 2.5 inches shorter than the
one below it?
(ii) How much material would be needed to make the rungs for the ladder described?
Transcribed Image Text:Problem Set D (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of 5%, what will your salary be when you begin your seventh year? 3x (2) Determine the inverse of the function f(x) =- 2.x-5 (3) Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 19 inches wide. Stating explicitly the formulae used, determine: (i) How many rungs does the ladder have if each rung is 2.5 inches shorter than the one below it? (ii) How much material would be needed to make the rungs for the ladder described?
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