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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1776 , given: 397

If *x is defined as the square of one-half of x, what is the [#permalink]
Expert's post 00:00

Question Stats: 80% (00:38) correct 20% (00:00) wrong based on 5 sessions
If $$*x$$ is defined as the square of one-half of x, what is the value of $$\frac{*5}{*3}$$?

[Reveal] Spoiler: OA
$$\frac{25}{9}$$

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Sandy
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1776 , given: 397

Re: If *x is defined as the square of one-half of x, what is the [#permalink]
Expert's post
Explanation

The problem introduces two functions as well as the fact that g(m) = 29. First, solve for m:

$$g(m) = m^2 - 7 = 29$$

$$m^2 = 36$$
$$m = 6$$ or $$-6$$

The question asks for h(m):

$$h(6) = |3 \times 6| + 2 = |18| + 2 = 18 + 2 = 20$$
$$h(-6) = |3 \times -6| + 2 = |-18| + 2 = 18 + 2 = 20$$

The answer is 20 for either value of m.
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Sandy
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Manager Joined: 27 Feb 2017
Posts: 189
Followers: 0

Kudos [?]: 49 , given: 15

Re: If *x is defined as the square of one-half of x, what is the [#permalink]
sandy wrote:
Explanation

The problem introduces two functions as well as the fact that g(m) = 29. First, solve for m:

$$g(m) = m^2 - 7 = 29$$

$$m^2 = 36$$
$$m = 6$$ or $$-6$$

The question asks for h(m):

$$h(6) = |3 \times 6| + 2 = |18| + 2 = 18 + 2 = 20$$
$$h(-6) = |3 \times -6| + 2 = |-18| + 2 = 18 + 2 = 20$$

The answer is 20 for either value of m.

Hi! I think you gave the explanation for some other question
Manager Joined: 27 Feb 2017
Posts: 189
Followers: 0

Kudos [?]: 49 , given: 15

Re: If *x is defined as the square of one-half of x, what is the [#permalink]
*x= (x/2)^2
That means 5/3= [(5/2)^2]/[(3/2)^2]=25/9 Re: If *x is defined as the square of one-half of x, what is the   [#permalink] 05 Aug 2018, 17:02
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