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3 years ago

If the function is one-to-one, find its inverse. If not, write "not one-to-one." f(x) = -8x + 1

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

$f^{-1}(x)=-\frac{1}{8} x +\frac{1}{8}$

Step-by-step explanation:

A linear function is always a one-to-one function.

Switch y and x.

x = -8y + 1

-1/8x + 1/8 = f(x)

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Answer:

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Step-by-step explanation

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Answer:

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Step-by-step explanation:

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3 years ago

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Hey mate!

1st up, we must use the (Order of operations) If you don't know what that is, then it is better known as PEMDAS.

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3 years ago

A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the

Leokris [45]

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the volume of the cubes.

Volume of small cube, $V_1=(6y)^3=216y^3$

Volume of lager cube,

$V_2=(4x^2)^3\\\\=64x^6$

Difference in the volume of the cubes,

$\Delta V=V_2-V_1\\\\=64x^6-216y^3$

We can simplify the above expression :

$\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)$

So, the difference in the volumes of the cubes is $(4x^2-6y)(16x^4+24x^2y+36y^2)$ .

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