Question Details

(solution) Find a formula for f1(x) if f(x) = 3x 2. Show that f(x)


Find a formula for f?1(x) if f(x) = ?3x ? 2.

Show that f(x) = 2x+3
4x?2 is its own inverse. What does this tell you about the graph of
f?


Week 8 Part 1 Homework Activity Questions

 

Question 1:

 

Suppose that the domain of function f is the set of all real numbers. Show that

 

h( x ) f ( x) f ( x)

 

is an even function.

 

2 Question 2:

 

Consider the function f ( x) x 1 3x 8 . Express f ( x) as a piecewise function.

 

Question 3:

 

x3

 

Let f ( x) 2 . Find if f 1 ( x) 2.

 

x 1 Question 4:

 

Evaluate the following limits:

 

a)

 

b) lim x lim

 

x 1 x2

 

x2 5

 

x3 2

 

x 1 x2 5

 

c) lim

 

x 4 x 9

 

t 3 3t 2 12t 4

 

d) lim

 

x 2

 

t 3 4t Question 5 1 x, x 1 Let f ( x) x 1

 

, x 1. x 1

 

Find

 

(i) lim f ( x)

 

x 1 (ii) lim f ( x)

 

x 1

 

MA111 Week 8 Part 1 Homework Activity Semester 2 2016

 


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Sep 13, 2020

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