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Nikolay [14]
3 years ago
7

Find f(x) if it is known that f(x−6)=12x−72.

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0

Answer:

f(x)=12x

Step-by-step explanation

We know that f(x) is our y-coordinate and x is the x-coordinate

Next we should insert x-6 as x in the equation

This is f(x)=12(x-6)-72

But if you look at this that leads to 12x-72 (ignore y-intercept)

That is our first equation  

This means that if you take out -6 from the x

You will get f(x)=12x

(Also do you go to RSM?)

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Write the inverse function for the function, ƒ(x) =1/2x + 4. Then, find the value of ƒ^ -1(4). Type your answers in the box.
Kipish [7]

Answer:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

Step-by-step explanation:

f(x) = \frac{1}{2} x + 4\\x = \frac{1}{2} f^{-1}(x) + 4\\x - 4 = \frac{1}{2} f^{-1}(x)\\2x - 8 = f^{-1}(x)\\f^{-1}(x) = 2x - 8

Let's test it

f^{-1}(f(x)) = 2(f(x)) - 8\\f^{-1}(f(x)) = 2( \frac{1}{2}x + 4) - 8\\f^{-1}(f(x)) = \frac{2}{2}x + 8 - 8\\f^{-1}(f(x)) = x

So we do indeed have the inverse function, so using that we can plug in the values requested:

f⁻¹(x) = 2x - 8

f⁻¹(4) = 2 × 4 - 8

f⁻¹(4) = 0

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3 years ago
On his trip,Buddy drove 60 mph for 1 hour, 55 mph for 3 hours and 40 mph for 2 hours. What was the distance of Buddy trip?
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Answer:

Step-by-step explanation:

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3 years ago
Which property was used to simply the expression 3c+9+4c=3c+4c+9
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Answer:

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I'm sure all are linear.

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