If g(t) = 2t + 3, and h(t) = 3t - 4, Find g(h(t))

Question

g(t) = 2t + 3

h(t) = 3t - 4

Find g(h(t)).

Answer 1

g(t) = 2t + 3 (1)

h(t) = 3t - 4 (2)

To make composition g(h(t)), you need to substitute the expression for (2) for t in expression (1)

g(h(t)) = 2*h(t) + 3= 2*(3t-4) + 3=2*3t-2*4 + 3=6t-8+3=6t-5

and the composition g(h(t)) = 6t-5

Answer 2

In order to find the answer to this question, we are going to plug in h(t) in g(t) where we see the variable t. So we are going to plug in 3t - 4 for t in g(t):

g(h(t)) = 2(3t-4) + 3 = 6t - 8 + 3 = 6t - 5

Hence, the answer is 6t - 5.

Answer 3

g(t)= 2t+3

g(h(t))=2(h(t))+3= 2(3t-4)+3= 6t-8+3=6t-5

Made a video explaining the steps in detail. Was not able to upload on this platform: https://youtu.be/x6dWOnMg4gU

Answer 4

g(h(t)) = g(3t-4) = 2[3t-4] +3 = [6t-8]+3 = 6t-5