SOLUTION: Please can you help me evaluate the following for f(x)=(x-1)/x and g(x)={{{ sqrt(x+3)}}}
1) f(f[g(x)])
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Question 400142: Please can you help me evaluate the following for f(x)=(x-1)/x and g(x)=
1) f(f[g(x)])
Found 2 solutions by Tatiana_Stebko, solver91311:
Answer by Tatiana_Stebko(1539) (Show Source): You can put this solution on YOUR website!
g(x)=
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ \frac{x\ -\ 1}{x})
\ =\ \sqrt{x\ +\ 3})
We want to determine
\right\]\right))
First determine
\right)\ =\ \frac{g(x)\ -\ 1}{g(x)}\ =\ \frac{\sqrt{x\,+\,3}\ -\ 1}{\sqrt{x\,+\,3} )
Then
\right\]\right)\ =\ \frac{\frac{\sqrt{x\,+\,3}\ -\ 1}{\sqrt{x\,+\,3}}\ -\ 1}{\frac{\sqrt{x\,+\,3}\ -\ 1}{\sqrt{x\,+\,3}})
Simplify:
\right\]\right)\ =\ \frac{1}{1\ -\ \sqrt{x\,+\,3})
John
My calculator said it, I believe it, that settles it
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