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2 years ago

Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.

Mathematics

1 answer:

aliina [53]2 years ago

4 0

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

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3 years ago

Sin^-1(1/2) Please help I don't know how to do inverse or arcs Thanks

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2 years ago

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Trigonometry Find x 8.3 34 degrees

Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

In Triangle

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I hope that this was helpful.

Wataru · 1 · Oct 29 2014

How do you find all the missing angles, if you know one of the acute angles of a right triangle?

The sum of the measures of all the angles in a triangle is always equal to

180

In a right triangle, however, one of the angles is already known: the right angle, or the

angle.

Let the other two angles be

and

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Applying these conditions, we can say that,

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That is, the sum of the two acute angles in a right triangle is equal to

If we know one of these angles, we can easily substitute that value and find the missing one.

For example, if one of the angles in a right triangle is

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Tanish J. · 1 · Nov 26 2014

How do you know what trigonometric function to use to solve right triangles?

Right triangles are a special case of triangles. You always know at least one angle, the right angle, and depending on what else you know, you can solve the rest of the triangle with fairly simple formulas.

http://etc.usf.edu/clipart/36500/36521/tri11_36521.htm

If you know any one side and one angle, or any two sides, you can use the pneumonic soh-cah-toa to remember which trig function to use to solve for others.

−

(

)

−

pposite

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ypotenuse

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(

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−

djacent

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ypotenuse

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)

−

pposite

−

djacent

Opposite refers to the side which is not part of the angle, adjacent refers to the side that is part of the angle, and the hypotenuse is the side opposite the right angle, which is

in the image above.

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cos

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Zack M. · 4 · Dec 7 2014

What are inverse trigonometric functions and when do you use it?

Inverse trigonometric functions are useful in finding angles.

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By taking the inverse cosine of both sides of the equation,

⇒

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−

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√

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√

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I hope that this was helpful.

Wataru · 1 · Nov 2 2014

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Wataru · 3 · Nov 6 2014

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3 years ago

Don’t really understand it someone help

stich3 [128]

Answer:

n = 8 or n = −2 is the correction solution.

Step-by-step explanation:

As the absolute value equation is given:

| n−3 | = 5

We know either n − 3 = 5 or n − 3 = −5

n − 3 = 5 (First Possibility)

n − 3 + 3 = 5 + 3

n = 8

n − 3 = -5 (Second Possibility)

n = -5 + 3

n = -2

So, n = 8 or n = −2 is the correction solution.

Keywords: absolute value equation

Learn more about absolute value equation from brainly.com/question/680309

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3 years ago

How do I solve and graph this?

lianna [129]

3x -y ⩾ 6

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now, with inequalities, what we do is, we graph the line of 3x - 6 = y, and then we shade the "true region".

if we pick a point on say hmmm (4, 0), namely x = 4 and y = 0, we can plug that in the inequality and see what we get,

3(4) - 0 ⩾ 6

12 - 0 ⩾ 6

12 ⩾ 6

is 12 really greater or equals to 6? well yes, therefore, the point (4, 0) lies on the "true region", since it's true, 12 is indeed ⩾ 6, so, where that point is, we shade.

now, the ⩾ means equals to or greater, and therefore, since the values could also equal the boundary points, the line is a solid line, because it includes the line itself, as well as the shading.

check the picture below.

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3 years ago