Question

If f(x) = 5x – 3, then what is f*–1(x) ?

Answer 1

Write the equation
\[ y = f(x) = 5x - 3 \]
Now solve for \( x = g(y) \). The function \( g \) is the inverse function \( f^{-1} \).

Answer 2

Hence in this case,
\[ y = 5x - 3 \]
\[ 5x = y + 3 \]
\[ x = g(y) = \frac{1}{5}(y+3) \]
In other words, the inverse function is ...

Answer 3

\[ f^{-1}(x) = \frac{1}{5}(x+3) \]

Answer 4

You should verify this now by showing that
\[ f(f^{-1}(x)) = x \] and
\[ f^{-1}(f(x)) = x \]

Answer 5

\[f^{-1}(5x-3)=x\] Let \[y=5x-3\]
then find x in terms of y and sub back to the 1st equation.

Answer 6

Data Management: A jury of 12 people is to be chosen randomly from a list containing 10 men and 12 women.

Answer 7

CALCULUS: solve \[\huge{\int\sin^{p-1}\theta d\theta}\]

Answer 8

Choose the correct answers.

Suzie Speedy is insured for bodily injury in the amount of 10/20.

Answer 9

The graph below shows the relationship between the number of cookies made and the number of pans used:

A graph is shown.

Answer 10

Stella set up a business washing cars. She earned $80 in March. She is projected to earn 130% more in April.

Answer 11

Check please
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Answer 12

What is one purpose of Samuel Thurston's article?

Answer 13

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins.

Answer 14

After years of overhunting, environmental scientists have reintroduced wolverines to Yellowstone National Park.

Answer 15

Which of the following scenarios would be most likely to characterize the individual in the blue shirt?
He is an apprentice training to learn a trade.

Answer 16

Hemophilia is a gender-linked blood disorder in humans. The gene responsible for it is gene-linked recessive, meaning it is present on the X chromosome.

Answer 17

Prompt
Write a short script (15u201320 lines) that creates an imagined scene between two or three characters.

Answer 18

A coalition of justices is
a.
a per curiam.
c.
a voting bloc.
b.
a swing vote.
d.
an amicus curiae.

Answer 19

Why are muscle and fat levels the only factors influencing flexibility impacted by personal decisions?
A.

Answer 20

Which condition is a population that descended from a small number of common ancestors more likely to have?

A.

Answer 21

Which mechanism decreases the number of genetic variations in a population?

A.

founder's effect

B.

Answer 22

A new and effective antibiotic becomes widely used for a particular species of bacteria.

Answer 23

1+sinx+icosx amplitude

Answer 24

Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant.

Answer 25

Which is an example of the bottleneck effect?
A.

Green beetles move to a new location and build a new colony there.