Pre Calculus 1
if
f(x) = 4x^2-x+1
then f(2x + 1 ) =
f(2x+1) = 16x^2 + 14x +1
Find the inverse of y = 2x+3
f^-1(x)=(x-3)/2
find domain
root 2 ( x-1)
[1, + inf)
( 6x^2 - 3x ) ^2 =
36x^4 - 36x^3 + 9x^2
Find the solution of
6x^2 + 5x - 6 = 0
-1.5 , 2/3
f(x)=(-3(3x - 2x^2))/(7x)
f'(x)=?
f'(x)=6/7
s(t)=1/(t^2+3t-1). s'(t)=?
(-2t-3)/(t^2+3t-1)^2
F(x) = (x-1)/3 + x/2
and
F^-1(x) = (6x+2)/5
are inverse ?
yes
find domain
root 2 ( x-1) + root 2 ( x-2 )
[2,inf)
describe transformation
y = 2f(x-4)+3
a =2 VS
h= 4 translation 4 units right
c=3 translation 3 units up
50 % of 14 is what percent of 35 ?
20
Find f'(x).
Find the derivative of : y= x * root(x)
f'(x) = (3rootx)/2
Complete the square
F(x) = 2x^2 - 5x + 4
F(x) = 2(x-5/4)^2 + 7/8
Find the inverse and state domain
f(x)= -3 root 2 (x-1)
f^-1(x) =( x^2 )/9 + 1
x<=0
Find domain
y = 1 / (x^2 - 2)
R - {
- root 2 2, root 2 2
}
Find the minimum value ( y )
h(x) = x^2 - 10x + 16
-9
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
Find the derivative of: y=
(x^2)/(2sqrtx + 1
What is: y' =
(x(3sqrtx + 2))/(2sqrtx + 1)^2
Find the slope of the normal to the curve y = x^2 +3x - 2 at (4,7).
What is:
-1/11
Find Domain of F 0 G (x)
F(x) = 1 / (x+1)
G(x) = x^2 - 10
R\{-3,3}
Domain
f(x) = root 2(x-4) / (5x-10)
[4,2)U(2,+inf)
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
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
Find the slope of f(x)= (5/x3) - 3(x2)- (1/x) at x = -1
What is -8?
Find the inverse of
y = (2x-1)/(2x-5)
f^-1(x) = (5x-1)/(2x-2)
Find the derivative of: y= x2cos x, at x = pi/6.
What is: y' =
(pi*sqrt3)/6 - pi^2/72
If We have a rectangle, the length is 3 times the width Knowing that the perimeter is 48, find the length
18
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
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
Find the derivative of: f(x)= y=sin(tan 2x)
What is : 2cos(tan 2x)(sec2(2x))
or
[2cos(tan 2x)]/(cos2(2x))