Gen Math Flashcards
It is a function wherein the set of ordered pairs obtained from by interchanging the first and second elements of each ordered pair.
Inverse Functions
Which of the following is the inverse to the function “Multiply x by 2, divide by 3, then subtract 8”?
Add 8 to x, multiply by 3 then divide by 2
Which is the inverse relation to the set of ordered pairs
{(–10, 5), (–7, 9), (0, 6), (8, –12)}?
{(5, –10), (9, –7), (6, 0), (–12, 8)}
Which is the inverse relation to the set of ordered pairs {(5,2),(7,4),(2,10),(3,8),(0,9)}?
{(2,5),(4,7),(10,2),(8,3),(9,0)}
Inverse functions are also known to _______ or to undo the rule.
reverse
A pre-paid cellular phone charges 25Php for activation and 0.05Php per minute. The relation of cost to minutes can be defined by the function c(x) = 0.05x + 25. What is the inverse of the function?
f^-1(x) = x/0.05 - 500
What is the inverse to the function f(x) = -8 - 5x?
f^-1(x) = -x/5 - 8/5
Which of the following is the inverse to the function f(x) = 8x + 6?
f^-1(x) = x-6/8
A DVD rental company charges $7 per month plus $2.50 for each rental. The relation can be defined by c(x) = 2.5x +7. Determine the inverse of the function.
c^-1(x) = x/2.5 - 7/2.5
The Drama Club is holding a car wash to raise money. The club spent $100 on materials and supplies. The club earns $11.75 for each car they wash. Which of the following is the inverse to the function of how much the club earns per cars washed?
f^-1(x) = x/11.75 + 8.51
The Drama Club is holding a car wash to raise money. The club spent $90 on materials and supplies. The club earns $11.25 for each car they wash. Write the function of how much the club earns per cars washed. (Note: Use “x” to represent the number of car wash)
f(x) = 11.25x - 90
A DVD rental company charges 150Php per month plus 50Php for each rental. The relation can be defined by c(x) = 50x + 150. Determine the inverse of the function.
c^-1(x) = x/50 - 3
The Drama Club is holding a car wash to raise money. The club spent $90 on materials and supplies. The club earns $11.25 for each car they wash. Which of the following is the inverse to the function of how much the club earns per cars washed? (Note: Use “x” to represent the number of car wash)
f^-1(x) = x/11.25 + 8
Find the value of x in the equation 3^2/3 = 9x
1/3
Find the value of x in the equation 6^–x = 1/216
3
Find the value of x in the equation 5^x(x-6) = (1/25)^4
2 and 4
Find the value of x in the equation 24x + 1 = 512
2
Solve for the inequality 16^2x – 3 ≥ 4^x + 2
[8/3, +∞)
Solve for the inequality (1/2)^2x > 2^3
(-∞, -3/2)
Solve for the inequality 4^x + 2 < 8^2x
x > 1
A population starts with 1 000 individuals and triples every 80 years. Give the exponential model for this situation.
y = 1 000(3)^x/80
Suppose that a couple invested Php 50 000 in an account when their child was born, to prepare for the child’s college education. If the average interest rate if 4.4% compounded annually, what exponential model can be used for this situation?
A = 50 000(1.044)^t
A population starts with 1 000 individuals and triples every 80 years. What is the size of the population after 100 years?
3948
You take out a Php 20 000 loan at 5% interest rate. If the interest is compounded annually, give an exponential model for this situation.
A = 20000(1.05)^t
