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makvit [3.9K]
3 years ago
7

2) f(x) = x² ** g(x)= 3x – 2 Find f(g(-4)

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

f(g( - 4)) = 196

Step-by-step explanation:

The functions are;

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

and

g(x) = 3x - 2

We want to find

f(g( - 4))

First we find g(-4) to get:

g( - 4) = 3 \times  - 4 - 2

g( - 4) =  - 12- 2

g( - 4) =  - 14

Now

f(g( - 4)) = f( - 14)

This implies that,

f(g( - 4)) = {( - 14)}^{2}

f(g( - 4)) = {( - 14)} \times  - 14

f(g( - 4)) = 196

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                     Convert 9432 feet to miles

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9432 *  0,000189394 =

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
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Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

6 0
3 years ago
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