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Eddi Din [679]
3 years ago
7

Which expression is equivalent to 4√32⋅√2 ?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0
4\sqrt{32}\times\sqrt{2}\rightarrow4\sqrt{32\times2} <em>because two square rooted numbers multiplied together equals the square root of the radicands </em>(the number under a square root symbol is the "radicand"

<u>so now you have</u>: 4\sqrt{64}=4\times(\pm8)
Depending on the choices, you can have either 4\times8=32 or 4\times(-8)=-32
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The measures of the angles of a triangle are shown in the figure below. Solve for x.<br> 64°<br> 67°
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7 0
4 years ago
Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =
vampirchik [111]

Answer:

In this problem, we are given the following functions:

f(x)=\frac{1}{2}x

and its inverse function:

f^{-1}(x)=2x

First of all, we want to calculate f(2). This can be obtained by substituting

x = 2

into f(x). Doing so, we find:

f(2)=\frac{1}{2}\cdot 2 = 1

Then we want to calculate f^{-1}(1). We can do it by substituting

x = 1

into f^{-1}(x). Doing so,

f^{-1}(1)=2\cdot 1 = 2

Then we want to calculate f^{-1}(f(2)), which can be found by calculating f(2) and then using it as input for f^{-1}(x). We know that

f(2) = 1

Therefore,

f^{-1}(f(2))=f^{-1}(1)=2

Then we want to calculate f^{-1}(-2), which can be calculated by plugging

x = -2

into f^{-1}(x). Doing so,

f^{-1}(-2)=2\cdot (-2)=-4

Then we want to calculate f(-4); by substituting

x = 4

into f(x), we find

f(-4)=\frac{1}{2}\cdot (-4)=-2

Finally, we want to find f(f^{-1}(-2))

We know already that

f^{-1}(-2)=-4

So we have:

f(f^{-1}(-2))=f(-4)=-2

7 0
3 years ago
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