The diagram shows the graph of the function f defined for x 0 by f(x) = 1 + x .
Copy the sketch, and show on the same diagram the graph of f
1
, making clear the
relation between the two graphs.

Give an expression in terms of x for f
1
(x), and state the domain of f
1
.
There is one value of x for which f(x) = f
1
(x). By considering your diagram, explain
why this value of x satisfies the equation 1 + x = x.
By treating the equation 1 + x = x as a quadratic for x , or otherwise, show that
the value of x satisfying f(x) = f^-1 is 1/2(3+squareroot of 5)

Question

The diagram shows the graph of the function f defined for x  0 by f(x) = 1 + x .
Copy the sketch, and show on the same diagram the graph of f
1
, making clear the 
relation between the two graphs. 
 
Give an expression in terms of x for f
1
(x), and state the domain of f
1
.
There is one value of x for which f(x) = f
1
(x). By considering your diagram, explain 
why this value of x satisfies the equation 1 + x = x.
By treating the equation 1 + x = x as a quadratic for x , or otherwise, show that 
the value of x satisfying f(x) = f^-1 is 1/2(3+squareroot of 5)

abmon98 · Answer

For the shape of graph here is the link http://www.purecoder.net/sixthworksheets/OCR%20Functions.pdf Question 23

phi · Answer

can you find the inverse function of y= 1+ sqr(x) ?

abmon98 · Answer

I think its (x-1)^2