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boyakko [2]
3 years ago
9

What is the inverse of g? g(x) = 4 - x A) g -1 (x) = 4x B) g -1 (x) = 4 + x C) g -1 (x) = 4 - x D) g -1 (x) = 4 x

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

B) g^ -1 (x) = 4 + x

Step-by-step explanation:

g(x) = 4 - x

Let g(x) =y

y = 4-x

To find the inverse, exchange x and y

x = y-4

Solve for y

Add 4 to each side

x+4 = y-4+4

x+4 =y

This is the inverse function

g^-1 (x) = x+4

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Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

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So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is $r \sqrt 2$.

Therefore, the area of the square is given by $\text{(side)}^2$

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                                                                         $=2 \ cm^2$

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

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