Question

Given h(t)=2t+1 and g(t)=2t+2 find (g•h)(t)

Answer 1

The answer would be (2t+1)(2t+2) which is equal to 4t^2 +6t +2

Answer 2

4 t^2 + 6 t + 2

Explanation:

h(t)=2t+1 and g(t)=2t+2

(g•h)(t) = (2t+1) (2t+2)

FOIL

first: 2t*2t = 4t^2

inner : 2t*1 =2t

outer: 2t*2 =4t

Last : 2*1 =2

Add them together

4 t^2 + 2 t+4t + 2

4 t^2 + 6 t + 2