Precalculus

Could someone help/verify these answers~

Thanky you!

1.What is the range of the reciprocal function of f(x)=10-x^2?

a) {YER|y≥1/10}
b) {YER|y≥10}
c) {YER|1/10≤y<0}
d) YER|y<0 or y≥1/10}

Answer: D?
----------------------------------------
2. It takes Franc 2 hours longer than jane to carpet a certain type of room. Together they can carpet that type of room in 1 7/8 hours. How long would it take for Frank to do the job alone?

a) 1 1/4 hours
b) 3 3/4 hours
c) 3 hours
d) 5 hours
---------------------------------------
4. Solve 4x/x-2 = 3x-2/x-2 for x.

a) x= -1/2
b) x= -2, 2
c) x= -2
d) x=2

Answer: B
---------------------------------------
5. How many solutions does this equation (x+5)/(x-3)-1/x = 4/(x^2-3x) have?

a) 0
b) 1
c) 2
d) 3

Answer: C
---------------------------------------
6. The inequality 3x-2<(x+4)/(x-2) is equivalent to which of the following?

a) 3x^2 - 9x + 8<0
b) (3x^2-9x+8)/(x-2)<0
c) 3x^2-9x>0
d) (3x^2 - 9x)/(x-2)<0

Answer: D

---------------------------------------

  1. 👍
  2. 👎
  3. 👁
  1. 1.
    y = 10 - x^2
    x = sqrt(10-y)
    domain: y <= 10
    I don't see that as a choice.

    2.
    1/f + 1/j = 15/8
    but f = j+2
    1/(j+2) + 1/j = 15/8
    8(j + j+2) = 15j(j+2)
    16j + 16 = 15j^2 + 30j
    15j^2 + 14j - 16 = 0
    (3j-2)(5j+8) = 0
    j = 2/3
    so, f = 2 2/3
    I don't see that as a choice.

    4.
    The answer is C, not B because 1/(x-2) is not defined.

    5. C correct

    6. D correct

    1. 👍
    2. 👎
  2. For number 4, I got this answer after calculating...

    4x/(x-2)=(3x-2)/(x-2)

    4x(x-2)=(3x-2)(x-2)
    4x^2 - 8x = 3x^2 - 6x - 2x + 4
    4x^2-3x^2-8x+6x+2x-4=0
    x^2 - 4 =0

    (x-2)(x+2)=0

    x= 2, -2

    Am I doing something wrong?

    1. 👍
    2. 👎
  3. Yes. 2 is not allowed as a solution, since putting it into the original equation gives

    4x/(x-2)=(3x-2)/(x-2)
    48/0 = 10/0

    1. 👍
    2. 👎
  4. make that
    4/0 = 10/0

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra plz help

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

  2. Algebra

    1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/

  3. Precalculus

    The function f has a domain of [0,5]and a range of [0,3]. Start by sketching a potential graph of f. Suppose the function k is defined as k(x)=f(x−3). Determine the domain and range of k. Domain: Range:

  4. calcius

    Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain:

  1. Math

    Someone verify these answers. Thank you! 1. A biologist finds the average production in which cancerous cells are produced in rats is given by p(t)= (t^2-2t+1)/t where t is measured in hours and p(t) is measured in 1000 cells per

  2. calculus please help asap

    true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent

  3. Maths

    A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of

  4. inverse

    If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

  1. Math

    Write an equation to represent a rational function with the following conditions: - reciprocal of a quadratic function - asymptotes with the equations x = -5, x= 4/3, and y = 0 - y < 0 whenever x < -5 - y-intercept of 1.5

  2. Math !!!!!

    a function f(x)has doamin {xeR/x>-4} and range {yeR/y

  3. Math

    Verify these answers :] Would be thankies~ 1. Determine the intervals in which the reciprocal function of f(x)= x^2+1 is increasing. a) (0,∞) b) (-∞, 0) c) (-∞,∞) d) (1,∞) Answer: D --------------------------------------

  4. Math

    f(x) is a linear function which is increasing for XER. a) Will the reciprocal function be increasing or decreasing? b)Will there ever be any horizontal asymptotes for the function? If so, where? c)Will there ever be any horizontal

You can view more similar questions or ask a new question.