SOLUTION: This is calculus problem! Thank you for the help:) Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UND

Algebra ->  Test -> SOLUTION: This is calculus problem! Thank you for the help:) Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UND      Log On


   



Question 993388: This is calculus problem! Thank you for the help:)
Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
q(t) = 6t^2 + 7 / t^2

(a) q(2) =
(b) q(0) =
(c) q(-x)=


Found 2 solutions by macston, ikleyn:
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Replace the t in the function with the value in parentheses:
Since you did not use parentheses to clarify the function,
I will let the formula function on the site interpret.
.
q%28t%29+=+6t%5E2+%2B+7+%2F+t%5E2
For q(2):
q%282%29=6%282%5E2%29%2B7%2F2%5E2=%286%29%284%29%2B7%2F4=24%2B7%2F4=25.75
.
For q(0):
Division by zero in the (7/t^2) term makes this undefined.
.
For q(-x):
q%28-x%29+=+6%28-x%29%5E2+%2B+7+%2F+%28-x%29%5E2=6x%5E2%2B7%2Fx%5E2




Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
This is calculus problem! Thank you for the help:)
Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
q(t) = 6t^2 + 7 / t^2
(a) q(2) =
(b) q(0) =
(c) q(-x)=
-----------------------------------------------------------------------------

Hello,

1.
This is NOT calculus problem.  It is simple Algebra.

2.
(a)  q(2) = 6%2A2%5E2 + 7%2F2%5E2 = 6%2A4 + 7%2F4 = 24 + 13%2F4 = 253%2F4.

(b)  q(0) = UNDEFINED

(c)  q(-x)= 6%2A%28-x%29%5E2 + 7%2F%28-x%29%5E2%29 = 6x%5E2 + 7%2Fx%5E2.