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2 years ago

Inverse Rational Function: g(x)=6x-1/4x+7

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

9514 1404 393

Answer:

g^-1(x) = (7x+1)/(6 -4x)

Step-by-step explanation:

Substitute y for x and solve for y.

g(y) = x

(6y -1)/(4y +7) = x

6y -1 = x(4y +7) . . . . multiply by 4y+7

6y -4xy = 7x +1 . . . . add 1-4xy

y(6 -4x) = 7x +1 . . . . factor out y

y = (7x +1)/(6 -4x) . . . divide by the coefficient of x

$\boxed{g^{-1}(x)=\dfrac{7x+1}{6-4x}}$

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2 years ago

Assume that women's heights are normally distributed with a mean given by mu equals 62.5 in, and a standard deviation given by

kirza4 [7]

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Step-by-step explanation:

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a) The formula for z -score :

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

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For x= 63 in. ,

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The p-value = $P(z$

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3 years ago