Find (f^-1) (a) if f(x)

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Homework Statement


Find (f^-1) (a) if f(x) = sqrt of (x^3+x^2+x+2) and a = 4?


Homework Equations


Find (f ^-1) (a) = 1/ f ^1( f ^-1(a))


The Attempt at a Solution


Take Derivative
1/2(x^3+x^2+x+2)^-(1/2)
do I need to do chain rule?
I am lost
this problem can help me pass the class
plz help
 

Answers and Replies

  • #2
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This problem has nothing to do with derivatives or the chain rule or reciprocals.
[tex]x = f^{-1}(a) \iff a = f(x)[/tex]

So basically, what you need to do is solve the equation [tex]4 = \sqrt{x^3 + x^2 + x + 2}[/tex]

BTW, this doesn't make any sense at all: (f ^-1) (a) = 1/ f ^1( f ^-1(a))
 

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