Tomfoolery Tomfoolery

15-04-2015
Mathematics

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Find the inverse function of f(x)= [tex] \sqrt{x+4} +7[/tex]

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konrad509 konrad509

16-04-2015

[tex]f(x)=\sqrt{x+4}+7\\ y=\sqrt{x+4}+7\\ y-7=\sqrt{x+4}\\ (y-7)^2=x+4\\ x=(y-7)^2-4\\ f^{-1}(x)=(x-7)^2-4\ \text{ for } x\geq4[/tex]

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