## anonymous 5 years ago 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

1. anonymous

$f(g(x))=f(m_2x+b_2)=m_1(m_2x+b_2)+b_1$

2. dumbcow

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

3. anonymous

$=m_1m_2x+m_1b_2+b_1$

4. dumbcow

oops haha nevermind ignore me

5. anonymous

says $f(g(x))$ not $f\times g(x)$

6. anonymous

oh so slope it $m_1m_2$