graph the given function to determine whether its one-to-one
find the inverse function algebraically
f(x)=x^2-10x x=5

Question

graph the given function to determine whether its one-to-one 
find the inverse function algebraically 
f(x)=x^2-10x x>=5

anonymous · Answer

$$f(x)=x ^{2}-10x, x \ge5$$

***[isuru]*** · Answer

nope!
   the shape of the graph is a parabola ... so it can never be  a one to one graph

anonymous · Answer

subsitute the x values from 5 onwards...yu will see that initially it will be negative for x=5...and then since x^2 term grows much faster than x term ,so this function will initially decrease to zero and then will increase

***[isuru]*** · Answer

'cause always u will find 2 value for x when y is equal to some value ...
            this is done by horizontal line test .... do u know about it ?

anonymous · Answer

so..this way the cup shape will be there which means its many to one function

***[isuru]*** · Answer

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anonymous · Answer

first how do i find the inverse - i know the answer in the book is $$f ^{-1}(x)=5+\sqrt{x+25}$$

***[isuru]*** · Answer

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