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Let f(x) = x2 - 81. Find f-1(x).

Sagot :

a386
To make this simpler, make f(x) be y.
[tex]f(x)= x^{2} -81\\ y=x^{2} -81\\[/tex]

Switch x and y to find inverse
[tex]y=x^{2} -81\\ x=y^{2} -81\\[/tex]

Now, solve for y.
[tex]x=y^{2} -81\\ x+81=y^{2} -81+81\\ x+81=y^{2}\\ \sqrt{x+81} = \sqrt{y^{2}} \\ y =\sqrt{x+81}[/tex]
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