## (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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DATE ANSWERED

Sep 13, 2020

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