Question

Let f and g be linear functions with equations f(x) = m1x + b1 and g(x) = m2x + b2.
(a) Is f of g also a linear function?
b) if so what is the slope

Answer 1

f(x) = m1x + b1
g(x) = m2x + b2

f(g(x)) = f(m2x + b2) = m1(m2x + b2) + b1 = m1m2x + b2 + b1

a.) f of g is also a linear function.

b.) slope is m1m2