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Marysya12 [62]
3 years ago
12

What is the inverse of f(x)=3+2lnx in radical form

Mathematics
1 answer:
butalik [34]3 years ago
8 0

f(x)=3+2\ln x,\ x > 0\\\\y=3+2\ln x\\\\\text{replace x with y and y with x}\\\\3+2\ln y=x\ \ \ \ |-3\\\\2\ln y=x-3\ \ \ \ |:2\\\\\ln y=\dfrac{y-3}{2}\to e^{\ln y}=e^{\frac{y-3}{2}}\\\\y=e^{\frac{y-3}{2}}\\\\Answer:\ f^{-1}(x)=e^{\frac{y-3}{2}}

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7x^2=9+x what are the values of x<br><br>Will give medal and points
DENIUS [597]
7x² = 9 + x   Subtract x from both sides
7x² - x = 9    Subtract 9 from both sides
7x² - x - 9 = 0   Use the Quadratic Formula

a = 7 , b = -1 , c = -9

x = \frac{-b \pm  \sqrt{b^2 - 4ac} }{2a}   Plug in the a, b, and c values
x = \frac{- (-1) \pm  \sqrt{(-1)^2 - 4(7)(-9)} }{2(7)}   Cancel out the double negative
x = \frac{1 \pm  \sqrt{(-1)^2 - 4(7)(-9)} }{2(7)}   Square -1
x = \frac{1 \pm  \sqrt{1 - 4(7)(-9)} }{2(7)}   Multiply 7 and -9
x = \frac{1 \pm  \sqrt{1 - 4(-63} }{2(7)}   Multiply -4 and -63
x = \frac{1 \pm  \sqrt{1 + 252} }{2(7)}   Multiply 2 and 7
x = \frac{1 \pm  \sqrt{1 + 252} }{14}   Add 1 and 252
x = \frac{1 \pm  \sqrt{253} }{14}   Split up the \pm
x = \left \{ {{ \frac{1 +  \sqrt{253} }{14} } \atop { \frac{1 -  \sqrt{253} }{14} }} \right.
The approximate square root of 253 is <span>15.905973.
</span>x ≈ \left \{ { \frac{1 + 15.905973}{14} } \atop { \frac{1 - 15.905973}{14} }} \right   Add and subtract
x ≈ \left \{ {{ \frac{16.905973}{14} } \atop { \frac{14.905973}{14} }} \right.   Divide
x ≈ \left \{ {{1.2075} \atop {1.0647}} \right.   Round to the nearest hundredth
x ≈ \left \{ {{1.21} \atop {1.06}} \right.

<span>
</span>
7 0
3 years ago
9 times what number minus 7 equals negative seven
kirill115 [55]
9x-7=-7
9x=o
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so the answer....is 0
8 0
3 years ago
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
earnstyle [38]

Answer: 0.000

Step-by-step explanation:

6 0
2 years ago
Thomas drew a line of best fit for the scatter plot as shown. Enter an equation for the line of best fit in slope-intercept form
juin [17]

Answer:

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Step-by-step explanation:

Let the equation of line be y = mx + c

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from the graph intercept on y-axis is 108

and the slope of line is given by m = \frac{y_2 - y_1}{x_2 - x_1} where (x_2,y_2) and (x_1,y_1) is the points on line

let, points be (4,96) and (18,36)

on calculating this m = \frac{y_2 - y_1}{x_2 - x_1} = -\frac{30}{7}

Therefore equation of line best fits the scatter plot is y = -\frac{30}{7} x + 108

4 0
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10x^2+50 factoring by taking out the greatest common factor
inessss [21]

Answer:

The greatest common factor is 10

Step-by-step explanation:

Once you factor it out, you have :

10(x^2+5)

8 0
3 years ago
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