Question

Найдите область определения функции y = 6√ 1 - log0.7x

1) [0,7; +) 2) (0; 0,7] 3) (–; 0,7]

Answer 1

$y=6\cdot \sqrt{1-log_{0,7}x}\\\\OOF:\; \; \left \{ {{ 1-log_{0,7}x\geq 0} \atop {x>0\; \; \; \; \qquad }} \right.\; \left \{ {{log_{0,7}x\, \leq 1} \atop {x>0\qquad \; \; }} \right.\; \left \{ {{x\geq 0,7\qquad } \atop {x>0\; \qquad }} \right.\; \to \; \; x\geq 0,7\\\\x\in [\, 0,7\; ;\, +\infty )$