What is the answer for question 7. a) ? http://postimg.org/image/g4k5sc60z/

1 Answer

pramodpandey's profile pic

pramodpandey | College Teacher | (Level 3) Valedictorian

Posted on

Given `f(x)=2(x-4)^2+5`

fraph of this function is

Let Inverse of  f i.e `f^(-1)(x)`  ,where


`f^(-1)(x)=4-sqrt((x-5)/2)`  or



But `f^(-1)(x)!=4+-sqrt((x-5)/2)`  otherwise it can not be function.

Its domain be all real numbers  `x>=5` .

Its graph `f^(-1)(x)=4-sqrt((x-5)/2)`



graph for


But the graph of



Thus for one value of x , we are getting two values of `f^(-1)(x).`

So this is not possible for function.