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Lisa [10]
3 years ago
10

What is the correct inverse function for f(x) = e2x ?

Mathematics
1 answer:
Lena [83]3 years ago
5 0
To solve this problem you must appy the proccedure shown below:

 1. You have the following function given in the problem above:

 f(x)=e^2x

 2. You can rewrite is:

 y=e^2x

 3. Interchange the variables, as below:

 x=e^2y

 3. The inverse of an exponential function is the logarithm function. Thereforem you have:

 ln(x)=ln(e^2y)
 ln(x)=2y

 4.Then, you have:

 y=ln(x)/2

 Therefore, the answer is: 

 f^-1(x)=ln(x)/2
 
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Write a function that is passed in a positive integer, n, and sum up all the digits from 1 to n, doubling the even numbers. In o
olya-2409 [2.1K]

Answer:

Written in Python

def sums(n):

    total = 0

    for i in range(1,n+1):

         if i%2 == 0:

              total = total + i*2

         else:

              total = total + i

    return(total)

Step-by-step explanation:

The function is written in Python

def sums(n):

This initializes total to 0

    total = 0

This iterates through the integers that makes up n i.e. 1,2,3.....n

    for i in range(1,n+1):

This checks if current digit is even

         if i%2 == 0:

If yes, it adds the double of the digit

              total = total + i*2

         else:

If otherwise, it adds the digit

              total = total + i

This prints the calculated sum or total

    return(total)

To call the function from main, use the following:

print(sums(n))

Where n is a positive integer. i.e. n \geq 1

6 0
3 years ago
1/4(4y+16)-6=-1/5(10y-35)
Marizza181 [45]
Y=3
Simplify
Distribute
Combine like terms
Add 2y to both sides
Add 2 to both sides
Divide by 3 , both sides.
If u want me to write the numbers and all just reply
8 0
3 years ago
You have a coupon for 10% off the sale price of a surfboard. which is the better buy? explain your reasoning. ● 40% off the regu
just olya [345]
40 percent off because if there is 100 percent minus 40 that's 60 percent then if our work out the other one as 100 minus 30 equals 70. 70 the sale price divided by 10 because that's how much you get off equals 7. 30 plus 7 equals 37 which means you would only get 37 percent off.
3 0
4 years ago
Read 2 more answers
What is the range of the function f(x) = 3x^2 + 6x - 8?
Airida [17]

R; all quadratic functions are going to have ranges and domains of *ALL REAL NUMBERS*.

3 0
3 years ago
Helppppppp
Anna [14]

Answer:

a. y = -x + 9

Step-by-step explanation:

slope-intercept form is

y = mx + b

so of the options, only option a follows slope-intercept form.

hope this helps!

5 0
3 years ago
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