3. Respect your classmates and your teacher.
Raise your hand if you want to answer.
Ask permission when you go out.
Listen and follow instructions.
Participate in the class.
Minimize your voice during group activity.
General Mathematics Inverse of One-on-One-Function
4. Recalling the table of values for the function
given by the equation y + 2x -1 given below:
General Mathematics Inverse of One-on-One-Function
5. General Mathematics Inverse of One-on-One-Function
It can still represent a function because each x value is associated
with only one y value
7. 1.Enumerate the properties .of the inverse of a one-to-
one function.
2. Determine the inverse of a one-ton-one function.
3. Shows patience in determining the inverse of a one-to-
one function.
General Mathematics Inverse of One-on-One-Function
8. Inverting Functions (Properties of the Inverse
of a One-to-One Function)
·if the x- and y-values of a one-to-one function are
interchanged, the result is a function, but
·if the x- and y-values of a function that is not one-to-one
are inverted, the result is no longer a function.
General Mathematics Inverse of One-on-One-Function
10. Let f be a one-to-one function with domain A
and range B. Then the inverse of f, denoted ,
is a function with domain B and range A
defined by if and only f(x) = y for any y in B.
General Mathematics Inverse of One-on-One-Function
11. A function has an inverse if and only if it is
one-to-one. ‘Inverting’ the x-and y- values of
a function results in a function if and only if
the original function is one-to-one.
General Mathematics Inverse of One-on-One-Function
12. Find the inverse of f(x) =
3x +1.
General Mathematics Inverse of One-on-One-Function
