Please help!! (Picture above) can you please explain how you did it? I’m confused.

9514 1404 393

  9

Step-by-step explanation:

  (f ◦ g)(3) = f(g(3))

Each of the coordinate pairs for g correspond to ...

  (x, g(x))

Then g(3) can be found by looking for the pair that has 3 in the first location. That ordered pair is ...

  (3, 4)

so we know that g(3) = 4.

Now, we know that f(g(3)) = f(4). This tells us to look for the ordered pair in the f relation that has 4 as its first value. That ordered pair is ...

  (4, 9)

so we know that f(4) = 9.

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In summary, ...

  (f ◦ g)(3) = f(g(3)) = f(4) = 9

(cos π/4, sin π/4) or approx. (0.707, 0.707)

Step-by-step explanation:

The length of the blue ray is 1.  That's the same for any ray drawn inside the circle.

Then a = cos π/4 and b = sin π/4.

The cartesian coordinates of the point (a, b) are

(cos π/4, sin π/4) or approx. (0.707, 0.707)