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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

a. (-9,17)
b. (17,-9)
c. (11,11)
d. (9,17)

User Sonius
by
8.1k points

1 Answer

5 votes

Answer:

Correct answer is:

a. (-9,17)

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 (1)/(3)x +9 =6\\\Rightarrow (1)/(3)x=-3\\\Rightarrow x = -9

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


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

Now, using equation (1), putting
f(6)=6


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

Therefore, the point the corresponding point is:

a. (-9,17)

User Brad Barber
by
8.0k points

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