The functions f and g are defined such that and g.
Show that
Given that find the value of a.
Show that
Given that find the value of b.
Did this page help you?
The functions f and g are defined such that and g.
Show that
Given that find the value of a.
Show that
Given that find the value of b.
Did this page help you?
The functions f(x) and g(x) are defined as follows
Write down the range of f(x) .
Find
(i)
Solve the equation f(x) = g(x).
Did this page help you?
The graph of y = f(x) is shown below.
(i) Use the graph to write down the domain and range of f(x).
(ii) Given that the point (1, 1) lies on the dotted line, write down the equation of the line.
On the diagram above sketch the graph of y = f −1(x).
Did this page help you?
The functions f(x) and g(x) are defined as follows
Find
Write down f−1(x) and state its domain and range.
Did this page help you?
A function is defined by
Find the value of
Write down the range of .
Find the value of .
Write down the range of the inverse function.
Did this page help you?
Consider the function The domain of is
Find
Find the range of .
Write down the domain of the inverse function.
Did this page help you?
The functions f and g are defined for by and , where .
Find the range of f.
Given that is always positive for all x, determine the set of possible values for d.
Did this page help you?
Consider the function .
Sketch the graph of the function , labelling the and intercepts.
Find
Find
Did this page help you?