Question

Okresl dziedzine funkcji f

Answer 1

a)

[tex]x-1\geq 0 \wedge x^2+9\not=0\\x\geq 1 \wedge x^2\not =-9\\x\geq 1\wedge x\in\mathbb{R}\\x\in\langle1,\infty)[/tex]

b)

[tex]\sqrt{x+3}\not =0 \wedge x+3\geq0\\x+3\not=0 \wedge x\geq-3\\x\not=-3 \wedge x\geq-3\\x\in(-3,\infty)[/tex]

c)

[tex]x+1\geq0 \wedge \sqrt{5-x}\not=0 \wedge 5-x\geq0\\x\geq -1 \wedge 5-x\not=0 \wedge x\leq 5\\x\geq -1 \wedge x\not =5 \wedge x\leq 5\\x\in\langle-1,5)[/tex]

d)

[tex]2-x\geq 0 \wedge \sqrt{x+4}\not=0 \wedge x+4\geq0\\x\leq 2 \wedge x+4\not=0 \wedge x\geq-4\\x\leq 2 \wedge x\not=-4 \wedge x\geq-4\\x\in(-4,2\rangle[/tex]