3 years ago

If f(x)=3x, what is f-'(x)?

Mathematics

1 answer:

hichkok12 [17]3 years ago

7 0

Answer:

f^-1(x)= 1/3 x

Step-by-step explanation:

y = 3x

To find the inverse, exchange x and y

x = 3y

Solve for y by dividing by 3 on each side

x/3 = 3y/3

1/3x = y

The inverse is 1/3x

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Read 2 more answers

Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…

sammy [17]

The sum of the first five terms is 11/2

<h3>How to determine the sum?</h3>

The series is given as:

1/2, -1,2,-4…

Calculate the common ratio of the series using

r = -4/2

Evaluate

r = -2

The sum is then calculated as:

$S_n = a\frac{1 - r^n}{1 - r}$

This gives

$S_n = \frac{1}{2} * \frac{(1 - (-2)^5}{1 + 2}$

Evaluate

$S_n = \frac{1}{2} * \frac{33)}{3}$

Evaluate

$S_n =\frac{11}{2}$

Hence, the sum of the first five terms is 11/2