Question: 1:Show that the function f(x)=ln(x 2 +1)is one-to-one for x > 0 . Graphing does not count as proof. (Hint: Use the derivative of the

1:Show that the function

f(x)=ln(x2+1)is one-to-one for x > 0 .

Graphing does not count as proof.

(Hint: Use the derivative of the function.)

2: (Find a formula for the inverse function

f-1(x) off(x)= 2x/x+1. Verify thatf(f-1(3))= 3 andf-1(f(5))=5)

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