Given that (-2,3) is on the graph of y=f(x), find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.

Answer for 100 points.

Respuesta :

The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)

Which ordered pair is on the function y=f(2x+1)+3?

Here we know that for the function:

y = f(x)

And we know that the point (-2, 3) belongs to the function, this means that:

f(-2)= 3

Now we want to find a point on the function:

f(2x + 1) + 3

If we find x such that:

2x + 1 = -2

2x = -3

x = -3/2

Now we can evaluate the function in that value of x to get:

y = f(2*-3/2 + 1) + 3

y = f(-2) + 3

y = 3 + 3

y = 6

Then we have the point (-3/2, 6) on the function.

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