Question

What does it mean to find the subset on which a function is well-defined? How would...

What does it mean to find the subset on which a function is well-defined?

How would you find that subset for f(x)= ln(x2+5) - arctan(x) and h(x)= (x+3)3/(x-8)2/5

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
3. The function f(x) = x2(x2 − 2x − 36) is defined on all real numbers....
3. The function f(x) = x2(x2 − 2x − 36) is defined on all real numbers. On what subset of the real numbers is f(x) concave down? (a) (−2, 3) (b) (−3, 2) (c) (−∞, −3) ∪ (2, ∞) (d) Nowhere (e) (−∞, −2) ∪ (3, ∞)
] Consider the function f : R 2 → R defined by f(x, y) = x...
] Consider the function f : R 2 → R defined by f(x, y) = x ln(x + 2y). (a) Find the gradient of f(x, y) at the point P(e/3, e/3). (b) Use the gradient to find the directional derivative of f at P(e/3, e/3) in the direction of the vector ~u = h−4, 3i. (c) Find a unit vector (based at P) pointing in the direction in which f increases most rapidly at P.
Let h be the function defined by H(x)= integral pi/4 to x (sin^2(t))dt. Which of the...
Let h be the function defined by H(x)= integral pi/4 to x (sin^2(t))dt. Which of the following is an equation for the line tangent to the graph of h at the point where x= pi/4. The function is given by H(x)= integral 1.1 to x (2+ 2ln( ln(t) ) - ( ln(t) )^2)dt for (1.1 < or = x < or = 7). On what intervals, if any, is h increasing? What is a left Riemann sum approximation of integral...
A function f on a measurable subset E of Rd is measurable if for all a...
A function f on a measurable subset E of Rd is measurable if for all a in R, the set f-1([-∞,a)) = {x in E: f(x) < a} is measurable Prove or disprove the following functions are measurable: (a) f(x) = 8 (b) f(x) = x + 2 (c) f(x) = 3x (d) f(x) = x2
Find the intervals of increase and decrease as well as the local extrema for the function...
Find the intervals of increase and decrease as well as the local extrema for the function f(x)=x3(x−5)2. Compute the limit. lim x→0 2cos(4x)−4x2−2 sin(2x)−x2−2x
Find the values of a function f(x) if f(x) = 2x + 5, for f(2), f(4),...
Find the values of a function f(x) if f(x) = 2x + 5, for f(2), f(4), f(k), and f(x2 + 2) The difference quotient of a function is given by: limh0f(x) fx+h-f(x)h . Find the difference quotient of, f(x) = 2x + 3 and f(x) = x2 + 2 a. Prove that h(x) and k(x) are inverses of each other when h(x) =x+213  and k(x) = 3x + 21
1. f is a probability density function for the random variable X defined on the given...
1. f is a probability density function for the random variable X defined on the given interval. Find the indicated probabilities. f(x) = 1/36(9 − x2);  [−3, 3] (a)    P(−1 ≤ X ≤ 1)(9 − x2);  [−3, 3] (b)    P(X ≤ 0) (c)    P(X > −1) (d)    P(X = 0) 2. Find the value of the constant k such that the function is a probability density function on the indicated interval. f(x) = kx2;  [0, 3] k=
Find the absolute extrema if they​ exist, as well as all values of x where they​...
Find the absolute extrema if they​ exist, as well as all values of x where they​ occur, for the function: f(x) = 2x^3 - 48 ln x ; on the domain [ 1 , 5 ]
Consider the function ? where ?(?)=4?ln(?)?2. For which real numbers is ?(?) defined? That is, what...
Consider the function ? where ?(?)=4?ln(?)?2. For which real numbers is ?(?) defined? That is, what is the domain? Find any intercepts of ?(?). Find any vertical or horizontal asymptotes of ?. Find the intervals on which ? is increasing and on which ? is decreasing.
Find the derivative of the function. (a) f(x) = ln (x) + 6x^(2) – 5 (b)...
Find the derivative of the function. (a) f(x) = ln (x) + 6x^(2) – 5 (b) f(x) = ln (x + 1) (c) f(x) = 5 ln x (d) f(x) = ln(x^(3) – 5x^(2) – 2x + 5) (e) 2lnx / x (f) x^(2) ln x
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT