Calculus

posted by Jessie

Let h(x) = 4x^2 + 2 x + 2.

Let g(x) = 3√{x} + 1 (This is the third square root plus 1)

(a) g(h(x)) =

(b) h(g(x)) =

(c) h(h(x)) =

(d) g(x) + 1 =

(e) g(x+1) =

  1. Steve

    There's no such thing as "third square root". There's "square root", "cube root", "fourth root", etc.

    g(h) = ∛h+1 = ∛(4x^2+2x+2)+1
    h(g) = 4g^2 + 2g + 2
    = 4(∛x+1)^2 + 2(∛x+1) + 2 = 4∛x^2 + 10∛x + 8

    h(h) = 4h^2 + 2h + 2
    = 4(4x^2 + 2 x + 2)^2 + 2(4x^2 + 2 x + 2) + 2
    = 64x^4 + 64x^3 + 88x^2 + 36x + 22

    g(x)+1 = (∛x+1)+1 = ∛x + 2

    g(x+1) = ∛(x+1) + 1

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math

    simplify - square root of 48x^3y^2 Your problem: √48x^3y^2 Try to break it down as far as you can in order to simplify. √(16 * 3)(x^2 * x)(y^2) The square root of 16 is 4. The square root of x^2 is x. The square root of …
  2. math

    simplify square root of 27r^5 Your problem: √27r^5 Try to break this down as far as you can to simplify. √(9 * 3)(r^4 * r) The square root of 9 is 3. The square root of r^4 is r^2. Therefore, you end up with this: 3r^2√3r …
  3. Math(radicals or square roots)

    i need a explanation for this equation: 5 radical(square root) 108 over 25 the 5 is in front of the square rooted number and it is a fraction PlEASE HELP :( That is not an equation. It is a number. It sounds like you are describing …
  4. Math

    I need help simplifying radicals. The problem in priticular is the square root of 60x^2 √60x^2 can be simplified this way: √(4 * 15 * x^2) Can you see what to take out from under the square root sign?
  5. Math(I Don't Get THIS!!)

    15sqrt8x^16/5sqrt2x^4 *I totally need help with this one!Please help me.! I'm going to assume your problem is this: 15√(8x^16) / 5√(2x^4) You can start by simplifying what's outside the square root sign. 15/5 reduces to …
  6. Math

    I need someone to check my homework answers. I don't really know this stuff but i'm trying to do better in math this year. I didn't understand how to do some either. 1. √12 I got 2√3 2. √9a^3 I got 3a 3. √8 …
  7. Calculus: limits

    Evaluate the limit at t --> 25: [25 - t] / [5 - √(t)] I multiplied it by √(x + 3) to get rid of the square root on the bottom. However, once I'm done distributing it out, I'm not sure I'm doing it right. I get [x√(x+3) …
  8. Calculus: Implicit

    so i suppose to find slope. i have trouble this problem. my math book is not really clear. Find the slope of the tangent line to the curve √(3x+2y)+√(4xy)=11.6 at the point (6,2). √(3x+2y) is the square root(3x+2y) …
  9. Calculus

    I'd really like some help in solving an integral. ʃ 1/ √x (1-3√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is -2/3 ln l1-3√xl + C but I …
  10. Algebra - Check My Work

    For Question 1-8 Simplify the Radical Expression *** - My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign applies …

More Similar Questions