Question

Inf(a) = (-22-3 if = <3|2?when t = 22- 22 if 2 > 3: what is f(t+2)

Answer 1

Given:

a function is given as below

Find:

we have to find the value of f(t + 2), when t = 2.

Step-by-step explanation:

Firstly we will find f(t + 2) as following

`\begin{gathered} f(t+2)=\begin{cases}{-2(t+2)-3\text{ ,if t + 2 < 3}} \\ {} \\ {(t+2)^2-2(t+2),\text{ if t + 2 }\ge\text{ 3}}\end{cases} \\ f(t+2)=\begin{cases}{-2t-7,\text{ if t < 1}} \\ {} \\ {t^2+2t,\text{ if t }\ge\text{ 1}}\end{cases} \end{gathered}`

when t = 2,

we have, f(t + 2) = t² + 2t

f( 2 + 2) = (2)²+2(2) = 4 + 4 = 8

Therefore, the value of f(t + 2) ,when t = 2 is 8.