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NeX [460]
3 years ago
14

Write the inverse of h(x) = e 2x h -1(x) = log e2 x 2log ex ½log ex

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

C

Step-by-step explanation:

So we have the function:

h(x)=e^{2x}

To find the inverse, switch h(x) and x, change h(x) to h⁻¹(x), and solve for it. Thus: "

x=e^{2h^{-1}(x)}

So, take the natural log (log to base e) of both sides:

\ln(x)=\ln(e^{2h^{-1}(x)})

The right side will cancel:

\ln(x)=2h^{-1}(x)

Divide both sides by 2:

h^{-1}(x)=\frac{1}{2}\ln(x)

And we're done!

Our answer is C

Note:

\ln(x)=\log_ex

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Lucy found that a solution of x = − 4 was extraneous for her function. What would be a possible denominator in Lucy's function?
tia_tia [17]

Answer:

Option 1

Step-by-step explanation:

We will find the solution for the expression in option 1

x^2+3x-4

x^2+4x-x+4

x^2-x+4x-4

x(x-1)+4(x-1)

(x+4)(x-1)

Hence, x=1 and x=-4 willl be the solution

Hence, x^2+3x-4  will be in denominator.

Hence, Option 1 is correct

Option 2,3 and 4 are discarded.

6 0
3 years ago
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Estimate the following sum by clustering.
Lostsunrise [7]
Answer is 390 . mark me brainiest please that helps a lot
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A) Write an expression to represent the amount of money you
asambeis [7]

Answer: $237

Step-by-step explanation:

Angela: 29 + 19(6 + 8) - 58

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7 0
2 years ago
What does the product (-5-2i)(3+7i) equal
Marina CMI [18]
This in what I got:
(-7i)(10i)
-70i
8 0
3 years ago
The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.
Stells [14]
P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
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156=12+12w
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12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm
8 0
2 years ago
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