Inverse Functions
The inverse of
f(x)=5x
What is
f^{-1}(x)=x/5
This is the area of a triangle with sides of 8 cm, 6 cm, and 10 cm.
What is 24 square cm?
A written piece of music especially of considerable size and complexity.
What is composition?
EEINRSV
What is INVERSE?
All solutions to
sin(x)=0
What is
x \in \{n\pi, n in \mathbb{Z}\}
A dragon has five heads. Every time a head is chopped off, five new heads grow. If six heads are chopped off one by one, this is how many heads the dragon will have at the end.
What is 29?
The inverse of f(x)=x-3
What is
f^{-1}(x)=x+3
This is the probability of drawing an ace from a deck of cards.
What is 1/13?
A sphere of knowledge, influence, or activity.
What is domain?
What is DOMAIN?
All solutions to
sin(x)=1
What is
x \in {pi/2 + 2pin, n \in \mathbb{Z}}
A bag contains balls of five different colors. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. This is the smallest number of balls that should be taken from the bag to be sure that two balls of the same color have been taken
What is 6?
The inverse of f(x)=5x-3
What is
f^{-1}(x)=(x+3)/5
This many 3 cm × 3 cm × 3 cm cube boxes can fit in a large 15 cm cube box.
What is 125?
To lie or fall in a slant.
What is slope?
What is INTERCEPT?
All solutions to
sin^2(x)=1/2
What is
x \in \{\pi/4+\pi/2 n, n \in \mathbb{Z}\}
A magical talking square originally has sides of length 8 cm. If he tells the truth, then his sides become 2 cm shorter. If he lies, then his perimeter doubles. He makes four statements, two true and two false, insome order. This is the largest possible perimeter of the square after the four statements.
What is 112 cm?
The inverse of
f(x)=\ln(x)
What is
This is the radius of a sphere whose volume is 288pi cubic units
What is 6 units?
The point at which something begins or rises or from which it derives.
What is origin?
AILLMNOOPY
What is POLYNOMIAL?
All solutions to
sin(x)=\frac{1}{2}
What is
x in \{\pi/6 + 2pi n or \frac{5pi}{6}+2pin, n \in \mathbb{Z}}
Kanga forms two 4-digit natural numbers using each of the digits 1,2,3, 4, 5, 6, 7 and 8 exactly once. Kanga wants the sum of the two numbers to be as small as possible. This is the value of this smallest possible sum.
What is 3825?
The inverse of f(x)=10^x
What is
Two sides of a triangle are 7 and 11 inches. The third side of the triangle is also an integer. This is the product of the smallest and largest values that the side could be.
A group of persons sharing a common interest or revolving about a common center.
What is a circle?
CIIILMPTTUY
What is MULTIPLICITY?
All solutions to tan(x)=\sqrt{3}
What is
x in \{pi/3+pin, n in \mathbb{Z}}
All 4-digit positive integers with the same four digits as in the number 2013 are written on the blackboard in an increasing order. This is the largest possible difference between two neighboring numbers on the blackboard.
What is 702?