GEN MATH QUIZ BEE

 Which of the following describe(s) $f\left(x\right)=0$ ?

I. A zero function.
II. An identity function.
III. A constant function.

• I only

• II only

• III only

• I and III only

If $f\left(x\right)=4x\$ and  $g\left(x\right)=\ \frac{1}{4}x$  and  $f\left(g\left(x\right)\right)=8$  , what is x? 

• 1

• 2

• 4

• 8

It is also known as Hybrid function defined by multiple sub-functions with each sub-function.

• Exponential Function

• Inverse Function

• Piece-Wise Function

• Rational Function

Which of the following is the inverse of $f\left(x\right)=x-3?$  

•  $f^{-1}\left(x\right)=x+3$  

•  $f^{-1}\left(x\right)=x-3$  

•  $f^{-1}\left(x\right)=-x-1$  

•  $f^{-1}\left(x\right)=1-x$  

What is the value of $\frac{f\left(b\right)-f\left(a\right)}{b-a}$ , if  $f\left(x\right)=3ax+b?$   

• 0

• a

• b

• 3a

If $\left(x+y\right)^2=168\$  and  $xy=4$  , then  $x^2+y^2=$ ? 

• 144

• 160

• 168

• 176

Given $f\left(x\right)=x^2+5$  and  $g\left(x\right)=2x^3-1$  , then find  $\left(\frac{f}{g}\right)\left(-3\right)$ . 

•  $-\frac{14}{55}$  

•  $\frac{14}{55}$  

•  $2$  

•  $-2$  

Bryan charges Php 25 for every page of encoding work. In addition, he charges Php 9 per page of printed output. How much will Bryan charge for 43-page encoding and printing work?

• Php 1,246

• Php 1,426

• Php 1,462

• Php 1,642

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

•  $x^3+2x^2-5$  

•  $-x^3-3x^2+5$  

•  $x^3+x^2+1$  

• 0

Solve:
 $2^x=4^{x+1}$  

•  $x=-2$  

•  $x=-3$  

•  $x=3$  

•  $x=2$