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College Discussion / SAT and ACT Tests & Test Preparation / AP Tests Preparation / Mathematics & Computer Science

scrivener
Registered User Posts: **797** Member

Alright... so I sat down to work on my AP Calculus summer work, and realized that I've completely forgotten much of what'll be on the test next year! Can anyone point me in the right direction/briefly explain the concepts behind some of these problems? (answers aren't necessarily required, just a helpful hand!)

Question 1:

given: g(x)= radical(x-2)

What is g(g(x))?

How can you have a radical beneath another radical? What are you supposed to do? I've never seen this before...

Question 2:

Factor: 5x^2(x+3)^-4 - 10x(x+3)^-7

Where do you begin here? Is it some version of factor by grouping?

Question 3:

Simplify: log(base 1/2) 8

Can someone briefly explain how to work log problems? We did them in Algebra II two years ago...

Question 4:

Simplify: e^(l+lnx)

This one just... leaves me flummoxed.

Thanks to any takers!

Question 1:

given: g(x)= radical(x-2)

What is g(g(x))?

How can you have a radical beneath another radical? What are you supposed to do? I've never seen this before...

Question 2:

Factor: 5x^2(x+3)^-4 - 10x(x+3)^-7

Where do you begin here? Is it some version of factor by grouping?

Question 3:

Simplify: log(base 1/2) 8

Can someone briefly explain how to work log problems? We did them in Algebra II two years ago...

Question 4:

Simplify: e^(l+lnx)

This one just... leaves me flummoxed.

Thanks to any takers!

Post edited by scrivener on

This discussion has been closed.

## Replies to: AP Calculus woes (already)

4,276Senior MemberQuestion 4: e^(a+b)=(e^a)(e^b)

385Memberor without a calc, think of it as "what is the exponent that turns base 1/2 into 8?" -3 is your answer

1,804Senior Membere^(l+lnx)

(e)(e^lnx)

(e)(x)

ex

797Member797MemberIf I have

1 over

radical(x^2 +3x -1)

how could I rationalize that denominator?

388Member√(x) * √(x) = x