Algebra

posted by .

Given that f(x) = x^2-3 and g(x) = 2x+1, find each of the following, if it exists.

a. (fg)(-root3)

b. (gf)(-1/2)

  • Algebra -

    a. Determine what g(-sqrt3) is and call it x. Then calculate f(x)

    x = g(-sqrt3) = -2 sqrt3 +1
    f(x) = x^2 -3 = 12 -4 sqrt3 +1 - 3
    = 10 - 4 sqrt3

    Do b the same way.

  • Algebra -

    This is as far as I got. Is this correct? Thanks!

    g(f(x))
    = g(x^2-3)
    = 2(x^2-3) + 1

  • Algebra -

    What you wrote for g(f(x))is correct. As a final step, they want you to substitute 1/2 for x.

    I skipped the step of writing down the
    g(f) function. You can start inserting -1/2 for x directly

    f(-1/2) = (-1/2)^2 -3 = -2 3/4
    = -11/4
    g(f(1/2)) = -22/4 +1 = -18/4 = -4 1/2

  • Algebra -

    Thanks for your help! I really appreciate it!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Given that f(x) = x^2 -3 and g(x) = 2x+1, find each of the follwing, if it exists. Problem 1 (f/g)(-root3) Problem 2 (g/f)(-1/2)
  2. Algebra

    Given that f(x) = x^2 -3 and g(x) = 2x+1, find each of the follwing, if it exists. Problem 1 (f/g)(-root3) Problem 2 (g/f)(-1/2)
  3. Algebra

    Given that f(x) = x^2 -3 and g(x) = 2x+1, find each of the follwing, if it exists. Problem 1 (f/g)(-root3) Problem 2 (g/f)(-1/2)
  4. Algebra

    Given that f(x) = x^2-3 and g(x) = 2x+1, find each of the following, if it exists. a. (fg)(-root3) b. (gf)(-1/2)
  5. Algebra

    Please help. I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
  6. Algebra

    I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
  7. Algebra

    I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
  8. Algebra

    I need to find the quotient function of the following: Given that f(x)=x^2-3 and g(x)=2x+1 find each of the following if it exists: a. (f/g)(-root3) b. (g/f)(-1/2)
  9. Algebra

    That is not what the ? is asking. The ? is asking about how to get the quotient function, not the composite as you solved for. Can you please show us how to get the quotient function solution?
  10. algebra

    (1) if root x-a/x-b + a/b = root x-b/x-a + b/a, b not equal to a, then value of x is (2) if x = 2 root 24/root3+root2 then value of x+roo8/x-root8 + x+root12/x-root12 (3)if a = 2+root3/2-root3 & b = 2-root3/2+root3 then value of (a …

More Similar Questions