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kotykmax [81]
3 years ago
5

What’s the inverse function for f(x) 6x-5

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

g(x)= (1/6)x+5/6 is the inverse function of f(x)

Step-by-step explanation:

We have y= 6x-5

Then, we take x depending on y like:

6x-5=y

6x-5 +5 = y + 5

6x= y+5

6x/6=y/6 + 5/6

x= y/6+ 5/6

Now, we replace x by the function g(x) and y by the variable x, then we have

g(x)= (1/6)x+5/6 is the inverse function of f(x).

Hope that you understand.

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a ship leave port p and sails on a bearing N50 degree E to Port Q 15km away.then it sails on a bearing of S45 degree E to Port R
Shtirlitz [24]

Answer:

Port r is 100° from Port p and 26km from Port p

Step-by-step explanation:

Lets note the dimension.

From p to q = 15 km = a

From q to r = 20 km= b

Angle at q = 50° + 45°

Angle at q = 95°

Ley the unknown distance be x

Distance from p to r is the unknown.

The formula to be applied is

X²= a²+ b² - 2abcosx

X²= 15² + 20² - 2(15)(20)cos95

X²= 225+400-(-52.29)

X²= 677.29

X= 26.02

X is approximately 26 km

To know it's direction from p

20/sin p = 26/sin 95

Sin p= 20/26 * sin 95

Sin p = 0.7663

P= 50°

So port r is (50+50)° from Port p

And 26 km far from p

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Giving 10 points need urgently
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