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

\[f(g(x))=f(m_2x+b_2)=m_1(m_2x+b_2)+b_1\]

Answer 2

a)
f(g) = m1(m2x+b2)x +b1
=m1m2x^2 + m1b2x +b1
quadratic not linear

Answer 3

\[=m_1m_2x+m_1b_2+b_1\]

Answer 4

oops haha nevermind ignore me

Answer 5

says \[f(g(x))\] not \[f\times g(x)\]

Answer 6

oh so slope it
\[m_1m_2\]