Question

Evaluate the function at the specified value of the independent variable and simplify.

q(t) = (5t^2 + 6) / (t^2)
1. Evaluate q(2)
2. Evaluate q(0)
3. Evaluate q(−x)

Answer 1

`q(t)=(5t^2+6)/(t^2)\\\\1.\\q(2)=(5\cdot2^2+6)/(2^2)=(5\cdot4+6)/(4)=(20+6)/(4)=(26)/(4)=7.5\\\\2.\\q(0)=(5\cdot0^2+6)/(0^2)=(6)/(0)-unde fined\\\\3.\\q(-x)=(5\cdot(-x)^2+6)/((-x)^2)=(5x^2+6)/(x^2)`