N217
ա) f(x) = x² (n g(x)=√x
_w) F=fog
F = (√x)² = x
D(F) = [0; +∞0)
բ) F=g of
F = √x² = |x|
D(F) == 00: + ∞0) => R
դ) F = fof
F = (x²)² = x²
D(F) = ER
N216
ա)F(x)=F(x-1)
x = 1
x in[0,1]
բ)F(x)=f(2x)
f(x) = 1/2
x in[-0,5,0]
գ) F(x) = f(- x ^ 2)
x in[-1;1]
N218
ա) x – 8x +21= x² = 8x + 16 + 5 = (x-4)² + 5 =>
x² – 8x + 21 = (x-4)² + 5
բ) 4x2x²-2=-2 (x² – 2x + 1) ==2(x – 1)² =
= (-1)²-(-2) =>
4X
2x² -2=(x-1)²-(-2)
գ) 3x² – 6x – 10 = 3x² – 6x + 3 – 1 3 = 3(x² – 2x + 1) – 13 =
= 3(x – 1)² – 13 => 3x – 6x – 10 = 3(x-1) ² – 13