# (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