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kap26 [50]
4 years ago
14

Please help me ......:(

Mathematics
1 answer:
algol [13]4 years ago
5 0

Answer:  B) F(x) = √x and G(x) = 3x + 2

<u>Step-by-step explanation:</u>

The composite function G(F(x)) is when you replace every x-value in the G(x) function with the F(x) function.

A)\ G(3x+2) = \sqrt{3x+2}\\\\B)\ G(\sqrt{x})=3(\sqrt{x})+2\quad =3\sqrt{x}+2\\\\C)\ G(\sqrt{x}+2) = 3\quad \text{there are no x-values in the G(x) function to replace}\\\\D) G(3\sqrt{x})=2\quad \text{there are no x-values in the G(x) function to replace}

The only one that matches G(F(x)) = 3√x + 2 is OPTION B

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Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

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So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

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