Question

If f(x) = 3x + 5, g(x) = 6x − 1, then find `("f"/"g") (x)` and its domain

Answer 1

f(x) = 3x + 5, g(x) = 6x − 1

`("f"/"g") (x) = f(x)/g(x) = (3x + 5)/(6x - 1)`

`("f"/"g")(x)` is not defined if 6x − 1 = 0

i.e., if x = `1/6`

∴ Domain of `("f"/"g")  = {x//x ∈ R, x ≠ 1/6}`