Grade 11/ Chapter (1) - Functions

 $f^{-1}:\ R\rightarrow R\ is\ such\ that\ f^{-1}\left(x\right)=2x+1,\ then\ f\left(x\right)=$  

•  $\frac{1-x}{2}$  

•  $\frac{2x-1}{2}$  

•  $\frac{1-2x}{2}$  

•  $\frac{x-1}{2}$  

•  $\frac{x+1}{2}$  

 $Given\ that\ x\ \Theta\ y=the\ remainder\ when\ x^y\ is\ divided\ by\ 5,\ then\ the\ value\ of\ \left(3\Theta2\right)\Theta3\ is$  

• 4

• 3

• 2

• 1

• 0

 $Given\ that\ f\left(x\right)=x-2,\ g\left(x\right)=\frac{1}{x-3},\ x\ne3,\ then\ \left(g\circ f\right)\left(0\right)=$  

•  $-\frac{1}{3}$  

•  $-\frac{1}{4}$  

•  $-\frac{1}{5}$  

•  $-\frac{1}{6}$  

•  $-\frac{1}{7}$  

 $Given\ that\ the\ operation\ \Theta\ is\ defined\ by\ a\ \Theta\ b=a\left(2a+b\right),\ then\ \left(-3\right)\ \Theta\ 2=$  

• -12

• -3

• 3

• 12

• 24

 $Function\ f\ and\ g\ are\ defined\ by\ f\left(3\right)=-1\ and\ g\left(-1\right)=5.\ Then\ \left(g\circ f\right)^{-1}\left(5\right)=$  

• -1

• 5

• 3

• 4

• 0

 $Given\ that\ a\ \Theta\ b\ means\ "add\ 4\ to\ a\ and\ multiply\ the\ result\ by\ b",\ then\ the\ value\ of\ \left(2\ \Theta\ 1\right)\ \Theta\ 3\ is$  

• 55

• 50

• 45

• 40

• 30

 $A\ function\ f:\ R\rightarrow R\ is\ given\ by\ f\left(x\right)=4^{\left(2-x\right)}.\ Which\ element\ of\ the\ domain\ has\ 64\ as\ its\ image?$  

• 2

• 3

• -2

• 1

• -1

 $A\ function\ f:\ R\rightarrow R\ is\ given\ by\ f\left(x\right)=7-kx\ and\ f^{-1}\left(5\right)=1.\ Then\ k=$  

• -1

• 2

• 1

• -2

• 4

 $If\ f\left(x\right)=3x-1\ and\ g\left(x\right)=2x^2+3,\ then\ \left(g\circ f\right)\left(2\right)=$  

• 51

• 53

• 55

• 57

• 59

 $An\ operation\ \Theta\ is\ defined\ by\ x\ \Theta\ y=\frac{3xy}{x+y},\ then\ the\ value\ of\ x\ for\ which\ x\ \Theta\ 2x=4\ is$  

• -3

• 3

• 1

• -1

• 2