Find the input & output values of of the composite function c(t(m)).

Question

c(t) = 3t + 2
t(m) = m² - 1

where c is the cost and t is the hrs. and m is the # of minutes.

Answer 1

c ( t ) = 3 t + 2

t ( m ) = m ^ 2 - 1

c ( t ) = 3 ( m ^ 2 - 1 ) + 2

c ( t ) = 3 m ^ 2 - 3 + 2

c ( t ) = 3 m ^ 2 - 1