G11 Competition !

Pre Calculus 1

100

find the composite of these two functions

f 0 g (1)

f(x) = x+ x^2

g(x) = x

2

200

Find the inverse 

y= 3 root 2 (x)

f^-1(x) =( x2 ) / 9

300

find inverse of 

y = 3 + 1/x

f^-1(x) = 1/(x-3)

400

F(x) = (x-1)/3 + x/2

and

F^-1(x) = (6x+2)/5

are inverse ?

yes

500

Complete the square 

F(x) = 2x^2 - 5x + 4

F(x) = 2(x-5/4)^2 + 7/8

Pre Calculus 2

100

Find the inverse of y = 2x

f^-1(x)=x/2

200

Find Domain of  F 0 G (x) 

F(x) = 1 / (x+1)

G(x) = x^2 - 10

R - {-3,3}

300

find the composite of these two functions f 0 g (x)

f(x) = 1/x + 1 /x^2

g(x) = 1/x

f 0 g (x) = x + 

x^2

400

find the composite of these two functions f 0 g (x)

f(x) = 2/g(x)

g(x) = x + 1

f 0 g (x) = 2 / (x +2 )

500

Find the inverse of 

y = (2x-1)/(2x-5)

f^-1(x) = (5x-1)/(2x-2)

Pre Calculus 3

100

find domain 

root 2 ( x-1)

[1, + inf)

200

find domain 

root 2 ( x-1) + root 2 ( x-2 )

[2,inf)

300

Find domain 

y = 1 / (x^2 - 2)

R - { 

- root 2 2, root 2 2

}

400

Domain 

f(x) = root 2(x-4) / (5x-10)

[4,2)U(2,+inf)

500

If We have a rectangle, the length is 3 times the width Knowing that the perimeter is 48, find the length

18

Pre Calculus 4

100

( 6x^2 - 3x ) ^2 =

36x^4 - 36x^3 + 9x^2

200

describe transformation

y = 2f(x-4)+3

a =2  VS

h= 4 translation 4 units right

c=3 translation 3 units up

300

Find the minimum value ( y ) 

h(x) = x^2 - 10x + 16

-9

400

In the library there are Math and Physics books. There are 5 more physic books than math books. If the total number of books in the library is 25, how many are math books ?

10

500

The length of a rectangle is 2 meters more than its width. If the area of this rectangle is 24 m^2, then the length of the rectangle is  

6

Pre Calculus 5

100

Find the solution of 

6x^2 + 5x - 6 = 0

-1.5 , 2/3

200

(3/x) - (3/(x-1))

-3/(x(x-1))

300

find the maximum value ( y )

h(X) = -2x^2 + 12x + 6

24

400

50 % of 14 is what percent of 35 ?

20

500

If Ahmad and Bader has 1210 KD. 4/15 of ahmad’s money is equal to 2/5 bader’s money . Whats bader money

484

Pre Calculus 6

100

if

f(x) = 4x^2-x+1

 then f(2x + 1 ) =

f(2x+1) = 16x^2 + 14x +1

200

f (x) = 10 / ( x+2) - 5 / (x-2)

f(x) = (5x-30)/((x+2)(x-2))

300

The length of a rectangle is 4 meters more than its width. If the area of this rectangle is 5 m^2, then the peremiter of the rectangle is ?

P = 12 cm

400

Points a,b, c and d are arranged on a line.

 Respectively, 

if ad =21 Bd= 14, and ac=13, then bc =

bc = 6

500

A square and an equilateral triangle have the same perimiter. The side of the triangle is 2 cm more than that of the square. Find the side of the triangle’s length

x = 8