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CALCULUS

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show that f(x) = x^2-1 (x is greater than and equal to 0) and g(x) = root(x-1) (x is greater than and equal to -1) are inverse functions.

when i try f(g(x)) = x and g(f(x)) = x to show that the two functions are inverses it doesn't work because i am not left with x when i solve the equation....

much help is needed thansk

  • CALCULUS - ,

    They must not be inverse functions.

    f(x)=x^2-1
    y+1=x^2
    x= +- root (y+1)
    g(x)=+-root (x+1)
    lets try the + root
    f(g)=(x+1)-1=x
    g(f)=+root (X^2-1+1)=x

  • CALCULUS - ,

    where did you get the (x+1) from??

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