Miranda Herrera
Karen García
Paco Ovalle
Ximena Ayala
Sofi Tena
100
Karina wants to go on vacation, therefore she is saving $35 M each month and she had an initial quantity of $150, her savings are given by this function T= 150+35 M.
Her sister does not have an initial quantity but she will add $50 each month, her savings are given by this function: S= 50M. Let C be their total savings, write an equation relating T to S.
C=150+85M
100
Is (fºg)(x) the same as f(g(x))?
YES
100
Find the domain of
1/x+5
-5
100
The functions r and s are defined as follows.
r(x)= -5x+3
s(x)= -3x+2
Find the value of s(r(-2))
-37
100
How do we get the domain of a square root ?
x > or equals 0
200
Suppose H (x)= (2+9x)²
Find two functions f and g such that f(g(x))= H(x)
f= x² g=2+9x
200
Find f(x) and g(x) when H(x) = (4x-5)2
f(x)=x2
g(x)=4x-5
200
Function a is defined as:
a(x) = 7/4x
Find (a o a)
x
200
The area A(r) (in square meters) of a circular ball with radius r meters is given by A(r)=πr2. The radius M(t) in meters after t minutes is given by M(t)=5/4t. Write a formula for the area Z(t) in square meters, of the circular ball after t minutes. It is not necessary to simplify.
Z(t)=A(M(t))
π ((5/4t)2)
200
What is the domain of 3x+5
all real numbers
300
Our school is creating a small pond, they will add water at a rate of 20 liters per minute, and to begin, there are already 800 liters. Let W represent the amount of water (in liters), and let T represent the number of minutes where water will be added.
Write an equation relating W to T.
W=800+20T
300
The domain of a polynomial is all the real numbers, true or false ?
TRUE
300
A cookie shop is going to sell oreo cookies. They have sold 120 boxes before, they sell 15 boxes per day.
Let T represent the amount of boxes in total, and let B represent the days
Write an equation relating T and B.
T = 120 + 15B
300
Suppose C(x)=
(f o g)(x)= f(g(x))
f(g(x))=f(9x-3)
f(x)=
g(x)= 9x-3
300
How do we represent "f of g"
(f(g (x))
400
Is (f º g) the same as g(f(x))?
No, (f º g) is equal to f(g(x))
400
Get (wºu)(2)
w(x)=7x-5 u(x)=x2+2
(wºu)(2)= 25
400
Suppose that the functions a and b are defined for all real numbers x as follows:
a(x): 2x² b(x): 3x-5
Evaluate (a+b)(3)
(a+b)(3) = 22
400
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)= x+3
g(x)= 5x+2
Write the expressions for (f-g)(x) and (f*g)(x) and evaluate (f+g)(3)
(f-g)(x)
(f*g)(x)
(f+g)(3)
(f-g)(x)=-4x+1
(f*g)(x)=5x2+17x+6
(f+g)(3)=23
400
Does (fºg) (x) means f multiplies x ?
no
500
The function f is defined as follows: f(x) = (3
Find f(-64)
-2
500
What is the result of #/0 ?
it is not defined / not real
500
The function t is defined as:
t(x)= (x² + 5x + 6) / (x² - 4x + 4)
Find t(3)
t(3)=30
500
The function f is defined as follows.
f(x)= 3
Find f(217) and f(-63)
-4
500
Find the functions r(x) and s(x) when G(x)= (2-3x)3
r(x)=x3
s(x)=2-3x