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) =

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
Similar Questions

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 … 
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 … 
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 … 
Math
Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times twothirds(square root of 15)= 3 onethird (square … 
Math
Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. The square root of 3y^4 to the third root divided by the square root of 15x^4 to the third root. Here is what I have so far: I multiplied. … 
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) … 
Math
Is there a way to simplify this further? Thanks (√ x + √ y) / x^2+y^2 ( Square root of x plus square root of y) All divided by x^2+y^2. 
Calculus
I'd really like some help in solving an integral. ʃ 1/ √x (13√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 l13√xl + C but I … 
math
Here's my question: Determine if each system has one, two, or no solutions. (Show your work  3 marks each) a)y=2x^22x+1 and y=3x5 b)y=x^2+3x16 and y=x^28x18 Here's my work on the question: a) x=(b plus/minus sign (square root … 
Algebra  Check My Work
For Question 18 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 …