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العمليات على الدوال وتركيب دالتين

Total questions: 2

Worksheet time: 60secs

Name
Class
Date
1.

f(x)=x2+3   ,  g(x)=x 1 ,  (f+g)(x)=?f\left(x\right)=x^2+3\ \ \ ,\ \ g\left(x\right)=\sqrt{x}\ -1\ ,\ \ \left(f+g\right)\left(x\right)=?  

a)

x2+xx^2+\sqrt{x}  (A

b)

x2+x+2x^2+\sqrt{x}+2  (B

c)

x2+x2x^2+\sqrt{x}-2  (C

d)

x3+2x^3+2 (D

2.

f(x)=x2+3   ,  g(x)=x 1 ,  (fg)(x)=?f\left(x\right)=x^2+3\ \ \ ,\ \ g\left(x\right)=\sqrt{x}\ -1\ ,\ \ \left(\frac{f}{g}\right)\left(x\right)=?  

a)

x2x   ,  x>0\frac{x^2}{\sqrt{x}}\ \ \ ,\ \ x>0  

b)

x2+3x1   ,   x1  , x 0\frac{x^2+3}{\sqrt{x}-1}\ \ \ ,\ \ \ x\ne1\ \ ,\ x\ \ge0  

c)

x1x2+3\frac{\sqrt{x}-1}{x^2+3}