Question

Let f(x) = -2x + 7 and g(x) = -6x + 3. Find (f o g) and state its domain.

Answer 1

$(f\circ g)(x) = -2(-6x+3) + 7 = 12x - 6 + 7 = 12x + 1$

The domain is all real numbers as a composition of two linear functions have no restrictions (all linear functions have domain of R)