Mathematics

2a. Determine (๐‘“ x ๐‘”)(๐‘ฅ) in simplified form and state its domain, given ๐‘“(๐‘ฅ) = ๐‘™๐‘œ๐‘”๐‘ฅ and ๐‘”(๐‘ฅ) =2 /๐‘ฅโˆ’6

2b. Determine (๐‘“ รท ๐‘”)(๐‘ฅ) in simplified form and state its domain, given ๐‘“(๐‘ฅ) = ๐‘ฅ + 8 and ๐‘”(๐‘ฅ) = โˆš๐‘ฅ โˆ’ 8 (square root is over the whole expression "x-8"

2c. Determine (๐‘“๐‘œ๐‘”)(๐‘ฅ) in simplified form and state its domain, given ๐‘“(๐‘ฅ) =
3/๐‘ฅโˆ’2 and ๐‘”(๐‘ฅ) =๐‘ฅ/2๐‘ฅโˆ’3

  1. 👍
  2. 👎
  3. 👁
  1. (f*g)(x) = f(x)*g(x) = logx * (2/(x-6))
    (f+g)(x) = f(x)+g(x) = .....
    (fโ€ขg)(x) = f(g(x)) = 3/(g(x)-2) = 3/((x/(2x-3))-3) = (9-6x)/(5x-9)

    1. 👍
    2. 👎
  2. Why do f (x) and g (x) add up in question 2b? shouldn't they be divided?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    a) Determine an equation, in simplified form, for the family of cubic functions with zeros 2 +- sqrt5 and 0. b) Determine an equation for the member of the family with graph passing through point (2,20)

  2. PreCalc

    State the domain and range for the following relation. Then determine whether the relation represents a function. {(6,2), (-5,2) (9,7), (6,12)}

  3. Math

    Determine an equation in simplified form, for the family of quartic functions with zeros 3 (order 2) and -2ยฑโˆš3

  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. calculus

    for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ? what is the domain of f*g? b. (f/g)(x)=? what is the domain of f/g? please show work

  2. Algebra 1

    1) what is the simplified form of (x-2)(2x+3)? Use the distributive property. A) 2x^2-x-6 B) 2x^2-6 C)2x^2-7x-6 D) 2x^2 +x-6**** 2) what is the simplified form of (3x+2)(4x-3) use a table. A)12x^2+18x+6 B) 12x^2+x-6 C)

  3. Algebra

    1) what is the degree of the monomial 3x^2y^3 A)2 B)3 C)5 D)6 2. What is the simplified form of 8b^3c^2 + 4b^3 c^2 A) 12bc B)12b^3c^2 C) 12b^6 c^4 D) 12b^9c^4 3. What is the simplified form of (4j^2+6)+(2j^2-3) A) 6j^2-3 B) 6j^2+3

  4. MATH

    for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 A) (f+g)(x)=? B)domain of (f+g) c) (f/g)(x)=? d) domain of f/g? please show work

  1. Algebra 2 help plsss?

    what is a simpler form of the radical expression? 4sqrt1296 x^16 y^12 how can you write the expression with rationalized denominator? 3 sqrt 2 / 3 sqrt 4 what is the quotient (4-x)/(x^2 + 5x - 6) / (x^2 - 11x + 28)/(x^2 + 7x + 6)

  2. Math: Please check my answers

    1. What is the degree of the monomial 3x2y3? 2 3 5 6 2. What is the simplified form of 8b3c2 + 4b3c2? 12bc 12b3c2 12b6c4 12b9c4 3. What is the simplified form of (4j2 + 6) + (2j2 โ€“ 3) ? (1 point) (0) 6j2 โ€“ 3 (1) 6j2 + 3 (0)

  3. Math

    Determine an equation in simplified form, for the family of quadratic functions with zeros -1 -+ โˆš5 and 2 -+ โˆš2 B) determine an equation for the member of the family whose graph has a y intercept of -32

  4. Algebra

    5. Describe how to determine the domain and range of a quadratic function when it is written in vertex form. What generalizations can you make?

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