Question

The functions s and t are defined as follows.Find the value of t(s(- 4)) .t(x) = 2x ^ 2 + 1s(x) = - 2x + 1

Answer 1

Step-by-step explanation

Since we have the functions:

`s(x)=-2x+1`
`t(x)=2x^2+1`

Composing the functions:

`t(s(-4))=2(-2(-4)+1)^2+1`

Multiplying numbers:

`t(s(-4))=2(8+1)^2+1`

Adding numbers:

`t(s(-4))=2(9)^2+1`

Computing the powers:

`t(s(-4))=2*81+1`

Multiplying numbers:

`t(s(-4))=162+1`

Adding numbers:

`t(s(-4))=163`

In conclusion, the solution is 163