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3 years ago

Let f ( x ) = 10 x + 14 f − 1 ( x ) =

Mathematics

1 answer:

Agata [3.3K]3 years ago

6 0

Answer:

f^-1(x) = (x -14)/10

Step-by-step explanation:

You can find the inverse function by solving for y:

x = f(y)

Here, that is ...

x = 10y +14 . . . . . use the definition of f(y)

x -14 = 10y . . . . . . subtract 14

(x -14)/10 = y . . . . divide by the coefficient of y

So, your inverse function is ...

f^-1(x) = (x -14)/10

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3 years ago

A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw

GalinKa [24]

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Explanation:

At the point of tangency, the tangent to a circle and the radius form a right triangle (the radius is perpendicular to the tangent).

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I tried to upload the drawing but the tool is not allowing it now.

In the figure:

The length of the tangent (6 in) is one leg of the triangle
The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
The other leg is the radius, r.

Then, you can use Pythagorean theorem:

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5.5r = 36 - 7.5625

5.5r = 28.4375

r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

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