GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Define x* by the equation x* = π/x. Then ((–π)*)* =
[#permalink]
04 Apr 2018, 12:48
04 Apr 2018, 12:48
1
Expert Reply
00:00
Question Stats:
89% (00:42) correct
10% (01:07) wrong based on 55 sessions
Hide Show timer Statistics
Define \(x^*\) by the equation \(x^* = \frac{\pi}{x}\). Then \(((-\pi)^*)^*\) =
A. \(\frac{-1}{\pi}\)
B. \(\frac{-1}{2}\)
C. \(- \pi\)
D. \(\frac{1}{\pi}\)
E. \(\pi\)
A. \(\frac{-1}{\pi}\)
B. \(\frac{-1}{2}\)
C. \(- \pi\)
D. \(\frac{1}{\pi}\)
E. \(\pi\)
Sherpa Prep Representative
Joined: 15 Jan 2018
Posts: 147
Given Kudos: 0
Re: Define x* by the equation x* = π/x. Then ((–π)*)* =
[#permalink]
04 Apr 2018, 20:20
04 Apr 2018, 20:20
2
Expert Reply
In a problem like this, simply do a find and replace with the x into whatever the function is. In this case, every time you see an *, replace whatever is under it with the x in the given function. Since this one is nested in two sets of parenthesis, let's do the inside set first.
The inside-most function is -π*, so we should replace the x in the given function with -π. Thus, we get:
π/-π = -1
Now, the outer-most function is whatever result we got from the last function. So we have -1*. Repeat:
π/-1 = -π
So the answer is C.
The inside-most function is -π*, so we should replace the x in the given function with -π. Thus, we get:
π/-π = -1
Now, the outer-most function is whatever result we got from the last function. So we have -1*. Repeat:
π/-1 = -π
So the answer is C.
Re: Define x* by the equation x* = π/x. Then ((–π)*)* =
[#permalink]
03 Nov 2019, 05:44
03 Nov 2019, 05:44
still can,t understand, someone help me please in an another way.
