Saturday

February 28, 2015

February 28, 2015

Posted by **Jessie** on Monday, January 28, 2013 at 11:57am.

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) =

- Calculus -
**Steve**, Monday, January 28, 2013 at 12:45pmThere'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

**Answer this Question**

**Related Questions**

Math(I Don't Get THIS!!) - 15sqrt8x^16/5sqrt2x^4 *I totally need help with this ...

Math - Rationalize the denominator. Assume that all expressions under radicals ...

math - simplify - square root of 48x^3y^2 Your problem: √48x^3y^2 Try to ...

Math - Is there a way to simplify this further? Thanks (√ x + √ y...

Math - Just need some help... Directions: Multiply or raise to the power as ...

Calculus - I'd really like some help in solving an integral. ʃ 1/ √x...

math - simplify square root of 27r^5 Your problem: √27r^5 Try to break ...

Calculus: Implicit - so i suppose to find slope. i have trouble this problem. my...

Math - I need help simplifying radicals. The problem in priticular is the square...

Math - What is the square root of 12? 3.464 Well, that's true, but you could ...