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Oliga [24]
3 years ago
13

The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7

Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

Answer:

Correct answer is:

<em>a. (-9,17)</em>

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of y =f(x).

Putting the values from the given point:

6 =f(6)

That means we are given that f(6) =6 ..... (1)

And we have to find the corresponding coordinates of this point on the graph of y = 4f[\frac{1}3x +9] -7

From equation (1), we know the value of f(6).

so, let us convert f[\frac{1}3x +9] to a form such that it becomes equal to f(6)

\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9

So, let us put x = -9 in the given function:

4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7

Now, using equation <em>(1)</em>, putting f(6)=6

\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17

Therefore, the point the corresponding point is:

<em>a. (-9,17)</em>

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Answer:

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Step-by-step explanation:

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//

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