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lianna [129]
3 years ago
6

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the gi

ven function. f(x) = e2x-4 To determine the inverse of the given function, change f(x) to y, switch
and y, and solve for
Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

Step-by-step explanation:

Data provided in the question

f(x) = e^2x - 4

Now

to find the inverse let

So,

y = e^2x - 4

Now

Replace x and y

Therefore

x = e^2y - 4

Now compute the value of y

So,

x + 4 = e^2y

Now take ln on both sides:

The equation is

ln(x+4) = ln(e^2y)

ln(x+4) = 2y

y = ln(x+4) ÷ 2

f^{-1}(x)= \frac{ln\ x+4}{2}

Therefore,  To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and f^{-1}(x)= \frac{ln\ x+4}{2}

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A loan is borrowed for $1200 for 2 years at a compound interest of 6%. Interest is compounded annually. What is the compound amo
Kruka [31]

A = 1200(1 + 0.06)^2= 1348.32


5 0
3 years ago
Read 2 more answers
Solve the following compound inequality: 3<-2x-137.
yarga [219]

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137  equation

STEP 2

3<-2x-137  simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3   simplify

-2x>140

step 4

-2x>140   look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

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3 0
2 years ago
Mr. I.C green wanted to plant a brand new yard. His yard was 17 yards by 8 yards. What was the area of his yard?
Free_Kalibri [48]

Answer:

17 x 8= 136 ft

Step-by-step explanation:

5 0
3 years ago
the student council has 36 membersthe ratio of girls to boys is 5 to 4 how many student council members are girls?
kap26 [50]
Ratio of girls : boys = 5 : 4

<u>Find total parts:</u>
Total parts = 5 + 4 = 9

<u>Find 1 part:</u>
9 parts = 36
1 part = 36 ÷ 9 = 4

<u>Find 5 parts (Girls):</u>
Girls = 5 parts = 4 x 5 = 20

Answer: There are 20 girls.
8 0
3 years ago
1377/8 in simplest form<br><br> Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
nlexa [21]
To convert a fraction to simplest form we need to find the greatest common factor. 

The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction. 

         Steps to solve 

<span>1) Set up the long division.
</span>
<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
</span>
3) Bring down 7, so that 57 is large enough to be divided by 8.

4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.

<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
</span>
<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
</span>
<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
</span>
<span>Express as a mixed fraction = </span>172 \dfrac{1}{8}


5 0
3 years ago
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