Question

найдите область определения функции:y=log2(25-x^2)+1/(3x-4)

Answer 1

$y=log_2(25-x^2)+ frac{1}{3x-4} \\ODZ:; ; left { {{25-x^2 textgreater 0} atop {3x-4ne 0}} right. ; ; left { {{x^2-25 textless 0} atop {xne frac{4}{3}}} right. ; ; left { {{(x-5)(x+5) textless 0} atop {xne 1frac{1}{3}}} right. \\(x-5)(x+5) textless 0qquad +++(-5)---(5)+++\\ left { {{xin (-5,5)} atop {xne 1frac{1}{3}}} right. qquad -----(-5)///(1frac{1}{3})///(5)-----\\Otvet:quad xin (-5,1frac{1}{3})cup (1frac{1}{3},5)$