Find the domain and range of the following function.g(x) = \(\frac{x+

1.	Find the domain and range of the following function.g(x) = \(\frac{x+4}{x-2}\)
Answer» g(x) = \(\frac{x+4}{x-2}\) Function g is defined everywhere except at x = 2. ∴ Domain of g = R – {2} Let y = g(x) = \(\frac{x+4}{x-2}\) ∴ (x – 2) y = x + 4 ∴ x(y – 1) = 4 + 2y ∴ For every y, we can find x, except for y = 1. ∴ y = 1 ∉ range of function g ∴ Range of g = R – {1}

Find the domain and range of the following function.g(x) = \(\frac{x+4}{x-2}\)

Answer»

g(x) = \(\frac{x+4}{x-2}\)

Function g is defined everywhere except at x = 2.

∴ Domain of g = R – {2}

Let y = g(x) = \(\frac{x+4}{x-2}\)

∴ (x – 2) y = x + 4

∴ x(y – 1) = 4 + 2y

∴ For every y, we can find x, except for y = 1.

∴ y = 1 ∉ range of function g

∴ Range of g = R – {1}