# Let #F(x)=3x# and #g(y)=1/y#, how do you find each of the compositions and domain and range?

The composition of (F(g(y))) is (F(g(y)) = 3 \cdot \frac{1}{y} = \frac{3}{y}).

The composition of (g(F(x))) is (g(F(x)) = \frac{1}{3x}).

The domain of (F(g(y))) is all real numbers except (y = 0), and the range is all real numbers except (0).

The domain of (g(F(x))) is all real numbers except (x = 0), and the range is all real numbers except (0).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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