Question

Urgeeeeeeeeent!!!!!!!!!!

sa se determine domeniul de definitie si multimea valorilor functiei f : D-->R

a)$f(x)=\sqrt{2x-x^2}$

b$f(x)=\sqrt{1-x}$

c)$f(x)=\sqrt{\frac{x}{x^2+4} }$

Answer 1

Răspuns:

a) 2x-x²>= 0

2x-x²=0

x(2-x)=0

x=0

x=2

x apartine intervalului [0;2]

b) 1-x >=0

x<= 1

x apartine (-infinit ; 1]

c)

$\frac{x}{x ^{2} + 4} \geqslant 0 \\ \\ x \geqslant 0 \\ \\ {x}^{2} + 4 \geqslant 0 \\ \\ x \: apartine \:$

[2;infinit)