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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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Pwease help me :0 Thank u!
defon

Answer:

1/2

Step-by-step explanation:

simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2

7 0
2 years ago
For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?
mr Goodwill [35]

Answer:

D

Step-by-step explanation:

The factor theorem states if (x - h) is a factor of a polynomial p(x) then

p(h) = 0

However, p(h) ≠ 0 then the value obtained is the remainder.

Thus

p(3) = - 2

When p(x) is divided by (x - 3) then the remainder is - 2

8 0
3 years ago
Please let me know the explanation of the the answer u will tell for this Question..
attashe74 [19]

\huge \purple{\tt{Answer:}}

Area of square = (length)²

= \sf {(3{\dfrac{1}{2}})^2} \\\\\ = \sf {12.25~cm^2}

OR

\sf{12{\dfrac{1}{4}}}

7 0
3 years ago
the number of blocks had 9 in the ones place. The number in the hundreds place is one more than the numbers in the tens place. T
Ray Of Light [21]
659 blooooooooocks lol (:


4 0
3 years ago
F (6)=4*f (6-1)<br> f (-1)=4*f (-1-1)
kvasek [131]
Plug in the 6 and -1 to get the answers
f(6)=120
f(-1)= 8
3 0
3 years ago
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