ADD MATH : FUNCTIONS

Given $g\left(x\right)=5x+2,\ \ f\left(x\right)\ =\ x^2-4x+1$  . Find  $gf\left(2\right)$ .

• -13

• -12

• 13

• 12

Given $g\ :\ x\ \longrightarrow\ \frac{3}{x-2},\ x\ne2$ .    Find the values of x if g(x) = x . 

• x = 1, x = -3

• x = -1, x = 3

• x = 1, x = 3

• x = -1, x = -3

Which of the following graph(s) represents a one-to-one relation?

• I

• I and II

• I and III

• III

Given that $h\left(x\right)=\left|2x-7\right|$ ,  find the image of 3.

• -1

• 5

• 1

• -5

Determine the range of  $f\left(x\right)=\left|2x-3\right|+1$  when given $0\le x\le4$  .

•  $0\le f\left(x\right)\le6$  

•  $1\le f\left(x\right)\le6$  

•  $1\le f\left(x\right)\le4$  

•  $4\le f\left(x\right)\le6$  

Given $f\left(x\right)=2x+9$  , find the value of  $f^{-1}\left(-3\right)$  .

• 6

• -6

• 3

• -1/3

The diagram shows the maps of function $h:x\rightarrow\ \frac{5x-4}{2}$  .Find the value of k.

• 4

• -4

• 2

• 1

Given $g\left(x\right)=12-5x$  ,find the object which is mapped onto itself under the function of g.

• x = 2

• x = 1

• x = 3

• x = -2

The diagram shows a linear function of g. What is the value of k.

• 5

• 4

• 7

• 8

Which of the following is the domain for the following diagram?

• -1, 0, 1, 2

• 1, 2, 5

• {-1, 0, 1, 2}

• {1, 2, 5}