Question

In: Math

Find the domain for each function please explain. f(x)=10x^2 + x f(x)= -2/x^2

Find the domain for each function please explain. f(x)=10x^2 + x f(x)= -2/x^2

Solutions

Expert Solution

The functions are and

The domain is the possible values of the in the function.

  1. The doamin of the first function i.e is all real numbers, because the function is true for any value of in the set of the real numbers, there is no value of at which the function becomes false. Hence the doamin of the function is all rea numbers or R.
  2. The domain of the second function i.e. ,
  • we know that the denominatior can never be zero, hence the term in the denominaor of the function can never be zero, because a zero the function becomes false, therefore we can say that .
  • for all the other values of the function true.
  • therefore the domain of the function is all real number except zero, because at zero the function can not be defined.

ANSWER----------->>>> domain of first function is set all real numbers or R, and the domain of the second finction is set of all real numbers except 0 or R - {0}.


Related Solutions

5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...
5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of the function and all its x and y intercepts. (b) Is the function even or odd or neither? (c) Find the critical points, all local extreme values of f, and the intervals on which f is increasing or decreasing. (d) Find the intervals where f is concave up or concave down and all inflection points. (e) Use the information you have found to sketch...
The function f(x)=3x+2 is one-to-one a) find the inverse of f b) State the domain and...
The function f(x)=3x+2 is one-to-one a) find the inverse of f b) State the domain and range of f c) State the domain and range of f-1 d) Graph f,f-1, and y=x on the same set of axes
please graph the function f(x)=(x-2)/(x-1) by finding the domain the x and y intercepts the vertical...
please graph the function f(x)=(x-2)/(x-1) by finding the domain the x and y intercepts the vertical asymptotes the horizontal asymptotes the intervals of increase and decrease the local mins/max the intervals of concavity the inflection point(s) as an ordered pair
Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b)...
Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b) Find all asymptotes and limits describing the end behavior of f(x). (c) Find all local extrema and the intervals on which f(x) is increasing or decreasing. (d) Find the inflection points and the concavity of f(x). (e) Use this information to sketch the graph of f(x)
Given f(x) = (x4 - 2)(x5 - 10x + 1)3 Find the definite integral of f(x)...
Given f(x) = (x4 - 2)(x5 - 10x + 1)3 Find the definite integral of f(x) on the closed interval [0, 1]. 1) 0.05 2) 204.75 3) 4095 4) None
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the...
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . Does f have any symmetries? f is even; f is odd; f is periodic; None of the above. Find all the asymptotes of f (enter your answers as comma-separated list; if the list is empty, enter DNE): Vertical asymptotes: ; Horizontal asymptotes: ; Slant asymptotes: . Determine the...
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the...
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . Does f have any symmetries? f is even; f is odd; f is periodic; None of the above. Find all the asymptotes of f (enter your answers as comma-separated list; if the list is empty, enter DNE): Vertical asymptotes: ; Horizontal asymptotes: ; Slant asymptotes: . Determine the...
let f(x)=(x^2 + 2x) / (x - 1)^2 a) Find the domain and if any intercepts...
let f(x)=(x^2 + 2x) / (x - 1)^2 a) Find the domain and if any intercepts b)find the horizontal asymptotes c) find the vertical asymptotes d)find the intervals on which the function is increasing and decreasing and identify the function's local extreme values, critical values e)identify the concavity and if any the point of inflection f) graph the function
(6) Consider the function f(x, y) = 9 − x^2 − y^2 restricted to the domain...
(6) Consider the function f(x, y) = 9 − x^2 − y^2 restricted to the domain x^2/9 + y^2 ≤ 1. This function has a single critical point at (0, 0) (a) Using an appropriate parameterization of the boundary of the domain, find the critical points of f(x, y) restricted to the boundary. (b) Using the method of Lagrange Multipliers, find the critical points of f(x, y) restricted to the boundary. (c) Assuming that the critical points you found were...
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...
consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT