Murakkab, teskari, davriy funksiyalar — 10-sinf Algebra test savollari

1.f(x)=x² va g(x)=x+1 bo'lsa, f(g(x)) ni toping.

• A)x²+2x+1
• B)x²+1
• C)x²+x+1
• D)x²+2x

2.f(x)=2x+3 funksiyaning teskari funksiyasini toping.

• A)f⁻¹$\left(x\right)=\frac{x-3}{2}$
• B)f⁻¹$\left(x\right)=\frac{x+3}{2}$
• C)f⁻¹(x)=2x-3
• D)f⁻¹$\left(x\right)=\frac{x-2}{3}$

3.f(x)=x+2 va g(x)=x² bo'lsa, g(f(1)) ni toping.

• A)9
• B)3
• C)5
• D)4

4.y=sinx funksiyaning eng kichik musbat davrini toping.

• A)2π
• B)π
• C)$\frac{\pi }{2}$
• D)4π

5.$f(x)=x^3$ funksiyaning teskari funksiyasini toping.

• A)$f^{-1}(x)=\sqrt[3]{x}$
• B)$f^{-1}(x)=x^3$
• C)$f^{-1}(x)=\frac{1}{x^3}$
• D)$f^{-1}(x)=x^{\frac{1}{2}}$

6.y=tgx funksiyaning eng kichik musbat davrini toping.

• A)π
• B)2π
• C)$\frac{\pi }{2}$
• D)$\frac{\pi }{4}$

7.Funksiya teskarilanishi (teskari funksiyaga ega bo'lishi) uchun qanday shartni qanoatlantirishi kerak?

• A)o'zaro bir qiymatli (bijektiv) bo'lishi kerak
• B)davriy bo'lishi kerak
• C)juft bo'lishi kerak
• D)toq bo'lishi kerak

8.f(x)=x² va g(x)=x-3 bo'lsa, f(g(x)) ni toping.

• A)x²-6x+9
• B)x²-9
• C)x²+9
• D)x²-3

9.Funksiya grafigi va uning teskari funksiyasi grafigi qaysi to'g'ri chiziqqa nisbatan simmetrik?

• A)y=x
• B)y=-x
• C)Ox o'qi
• D)Oy o'qi

10.$f\left(x\right)=\frac{x}{2}-1$ funksiyaning teskari funksiyasini toping.

• A)f⁻¹(x)=2x+2
• B)f⁻¹(x)=2x-2
• C)f⁻¹$\left(x\right)=\frac{x+1}{2}$
• D)f⁻¹(x)=2(x-1)