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DerKrebs [107]
3 years ago
12

Let f and g be the functions defined by f(x) = 10^ (x+2 / 3) and g(x) = log (x3 / 100) for all positive real numbers,

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

F(x) and g(x) are not inverse functions.

Step-by-step explanation:

In order to calculate the inverse function of a function, we have to isolate X and after that, we change the variables.

As our function f(x) is a exponentian function, we can apply logarithm with base 10 (log) in both sides in order to isolate X. Remember that log10=1.

[tex]y=10^{(x+\frac{2}{3}) }\\\\log y=log 10^{(x+\frac{2}{3}) }\\log y = (x+\frac{2}{3}) . log10\\\frac{log Y}{log10} = (x+\frac{2}{3})\\\frac{log Y}{1} = (x+\frac{2}{3})\\log Y-\frac{2}{3}=x[/tex]

Now we change the variables.

F(x)=log x-\frac{2}{3}

F(x) and g(x) are not inverse functions.

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The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13
Iteru [2.4K]

Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

         Base Area : Circle

               A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi

        Curved Surface: conical

                A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi

The total surface area of the cone can be written as ( A ):

               A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

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Answer:

m= 1/3

Step-by-step explanation:

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3 years ago
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3/99 = 1/33
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Answer:

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Step-by-step explanation:

Still think of PEMDAS: 8-4(-x=5)

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Step-by-step explanation:

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