Relationship between the graph and inverse function, Mathematics

Assignment Help:

Interesting relationship between the graph of a function and the graph of its inverse : There is one last topic that we have to address quickly before we leave this section.  There is interesting relationship among the graph of a function and the graph of its inverse.

Following is the graph of the function and inverse of the above examples.

1499_inverse function graph.png

we can illustrates that the graph of the inverse is a reflection of the actual function regarding the line  y = x .  It will always be the case with the graphs of a function & its inverse.


Related Discussions:- Relationship between the graph and inverse function

Solve for x and y liner equation, Solve for x , y (x + y - 8)/2   ...

Solve for x , y (x + y - 8)/2   =( x + 2  y - 14)/3 = (3 x + y - 12 )/ 11   (Ans: x=2, y=6) Ans :     x+ y - 8/2  =   x + 2y - 14 /3  =    3x+ y- 12/11

How many hours does dee work, Susan begins work at 4:00 and Dee starts at 5...

Susan begins work at 4:00 and Dee starts at 5:00. They both finish at the similar time. If Susan works x hours, how many hours does Dee work? Since Susan started 1 hour before

What price tag will he put on the item, The manager of a specialty store ma...

The manager of a specialty store marks up imported products 110%. If a vase imported from Italy costs him $35, what price tag will he put on the item? To ?nd out the price he s

., WRITE the condition that should be fulfilled by two matrices A&B to get ...

WRITE the condition that should be fulfilled by two matrices A&B to get the product AB and BA

the system by graphing, Suppose you are in the market for a new home and a...

Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city. a) The sales representative later shows that there

The coordinate axes, Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly sta...

Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of interse

Listing method, how will you explain the listing method?

how will you explain the listing method?

Determine the general solution reduction of order, Determine the general so...

Determine the general solution to 2t 2 y'' + ty' - 3y = 0 It given that y (t) = t -1 is a solution.  Solution Reduction of order needs that a solution already be iden

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd