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Let A(t) = 3- 2t^2 + 4^t. Find A(2) - A(1).

 

The function f(x) satisfies f(sqrt(x+1)) = 1/x for all x ≥ 1, x≠0. Find f(2)

 

Let f(x) = (3x-7)/(x+1). Find the domain and range of f. Give both anwsers as intervals.

 Jul 23, 2016
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\(Let A(t) = 3- 2t^2 + 4^t. Find A(2) - A(1).\\ A(2)-A(1)=3-2*4+4^2-(3-2*1+4)\\ A(2)-A(1)=3-8+16-(3-2+4)\\ A(2)-A(1)=11-(5)\\ A(2)-A(1)=6\\\)

 

\(\mbox{The function f(x) satisfies } f(\sqrt{x+1}) = \frac{1}{x}\quad for \;\;all \;\;x ≥ 1, \;\;x≠0. \quad Find \;\;f(2)\\ \sqrt{x+1}=2\\ x+1=4\\ x=3\\~\\ f(2)=\frac{1}{3}\)

 

next time please just ask one question per post. :)

 Jul 24, 2016

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