Podcast
Questions and Answers
Simplify the expression: 1/(x - 1) + 1/(x^2 - 1)
Simplify the expression: 1/(x - 1) + 1/(x^2 - 1)
(x + 2)/(x^2 - 1)
Simplify the expression: (x^2 - 1)/(x^2 - 2x + 1)
Simplify the expression: (x^2 - 1)/(x^2 - 2x + 1)
(x + 1)/(x - 1)
Simplify the expression: x/(x^2 - 1)
Simplify the expression: x/(x^2 - 1)
x/((x + 1)(x - 1))
Evaluate the limit as x approaches 1 of (x^2 - 1)/(x - 1)
Evaluate the limit as x approaches 1 of (x^2 - 1)/(x - 1)
Flashcards
h(t) = t + 1/t
h(t) = t + 1/t
A function where 't' is added to its reciprocal.
h(-1)
h(-1)
The value of the function h(t) when t = -1.
h(2)
h(2)
The value of the function h(t) for t = 2.
g(t) = t + 2 / (t - 2)
g(t) = t + 2 / (t - 2)
Signup and view all the flashcards
g(0)
g(0)
Signup and view all the flashcards
g(a)
g(a)
Signup and view all the flashcards
Undefined g(t)
Undefined g(t)
Signup and view all the flashcards
g(2)
g(2)
Signup and view all the flashcards
function evaluation
function evaluation
Signup and view all the flashcards
h(x-1)
h(x-1)
Signup and view all the flashcards
Study Notes
Homework 24
- Function h(t): A function is defined with a formula, h(t) = t/2 + 1/2 + 1/t.
- Values of h(t):
- h(-1) = -1/2 + 1/2 + (-1) = -1
- h(2) = 2/2 + 1/2 + 1/2 = 2
- h(1/2) = 1/4 + 1/2 + 2 = 9/4 = 2.25
- h(x-1) = (x-1)/2 + 1/2 + 1/(x-1).
- h(π) = π/2 + 1/2 + 1/π
Function g(t):
- Function g(t): Definition: g(t) = t+2 / t-2
- Values of g(t):
- g(-2) = -2+2 / -2-2 = 0/-4 = 0
- g(2) = 2+2 / 2-2 = 4/0, Undefined
- g(0) = 0+2 / 0-2 = 2/-2 = -1
- g(a) = a+2 / a-2
- g(a²-2) = (a²-2)+2 / (a²-2)-2 = a² / a²-4
- g(a+1) = (a+1) + 2 / (a+1) - 2 = a+3 / a-1
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
