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Pachacha [2.7K]
4 years ago
14

What is the inverse of f(x) 3^sqrt x-4

Mathematics
2 answers:
pogonyaev4 years ago
4 0
Well, you need the equationL: <span>y=3+<span>√x−8</span></span>. than order to find the inverse function, we have to switch the variables x and y and then solve for y..
const2013 [10]4 years ago
3 0
As you may already know, to get the inverse of any expression, we start off by doing a quick switcharoo on the variables, and then solve for "y".

\bf \stackrel{f(x)}{y}=\sqrt[3]{x-4}\qquad \stackrel{inverse}{\underline{x}=\sqrt[3]{\underline{y}-4}}\implies x^3=y-4\implies x^3+4=\stackrel{f^{-1}(x)}{y}
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If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
Kryger [21]

For this case we have the following functions:

f (x) = 4 - x ^ 2\\g (x) = 6x

The first thing we must do for this case is to subtract both functions.

We have then:

(g - f) (x) = g (x) - f (x)

Substituting we have:

(g - f) (x) = (6x) - (4 - x ^ 2)

Rewriting we have:

(g - f) (x) = x ^ 2 + 6x - 4

Evaluating the obtained function for x = 3 we have:

(g - f) (3) = (3) ^ 2 + 6 (3) - 4\\(g - f) (3) = 23

Answer:

The value of the function evaluated at x = 3 is:

(g - f) (3) = 23

7 0
3 years ago
Read 2 more answers
The rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is t
kykrilka [37]

The distance between park station 1 and the point where the flare was set off is 73.9 km.

<h3>What is distance?</h3>

Distance is the length between two points expressed in meters or kilometers.

To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule

Formula:

  • a/sinA = b/sinB....................... Equation 1

Where:

  • a = Distance between park station 1 and the point where the flare was set off.

Make a the subject of the equation

  • a = bsinA/sinB............ Equation 2

From the diagram,

Given:

  • A = 59°
  • B = (180-59-75) = 46°
  • b = 6.2 km

Substitute these values into equation 2

  • a = 6.2(sin59°)/(sin46°)
  • a = 73.9 km

Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.

Learn more about distance here: brainly.com/question/17273444

#SPJ1

5 0
2 years ago
Y=-11x-28 in standard form
Maslowich
11x + y = -28

Make sure to always remember that you can't have any fractions or decimals in standard form.

Standard form is basically

Ax + By = C
6 0
3 years ago
What's the difference between an equilateral and isosceles triangle
Monica [59]
Equilateral is all angles are equal and isosceles has two equal sides
4 0
3 years ago
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Two supplementary angles differ by 48°. find the angles.
OleMash [197]

this will need 2 equations, x+y=180 and x-48=y, this will make the answer be 114 and 66.

4 0
3 years ago
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