# Let f(t)=2t²+3t-4

f(t+1)=f(t)+4t+5 TRUE or FALSE

answer is true, but i don't know how to get it, please help :(

re-arrange your answer to fit their answer.

I hope you had

f(t+1) = 2t² + 4t + 2 + 3t + 3 - 4 after you expanded

which is

f(t+1) = (2t² + 3t - 4) + 4t + 5

= f(t) + 4t + 5

## To determine whether the statement "f(t+1) = f(t) + 4t + 5" is true or false, we can follow these steps:

1. Substitute t + 1 into the original function f(t):

f(t+1) = 2(t+1)² + 3(t+1) - 4

2. Expand and simplify the expression:

f(t+1) = 2(t² + 2t + 1) + 3t + 3 - 4

= 2t² + 4t + 2 + 3t + 3 - 4

= 2t² + 3t - 4 + 4t + 5

3. Compare the result with the expression f(t) + 4t + 5:

f(t+1) = f(t) + 4t + 5

By comparing the simplified expressions, we can see that they are identical:

f(t+1) = f(t) + 4t + 5

Therefore, the given statement "f(t+1) = f(t) + 4t + 5" is true.