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OpenStudy (anonymous):
f(x)=lnx. G(x)=9-x^2. Find the domain and range f(g(x))!!
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OpenStudy (dumbcow):
f(g(x)) = ln(9-x^2) Domain of log is greater than 0 9-x^2 > 0 x^2 < 9 -3 < x < 3 |x| < 3 Range of log is all real numbers
OpenStudy (dumbcow):
wait, in this case 9-x^2 is max when x=0 therefore f(g(x)) has max of ln(9) Range is y<= ln(9)
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