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# If f(x) = x 3 – 4 and f(y) = 4, then y is equal to

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Math Expert
Joined: 02 Sep 2009
Posts: 42327

Kudos [?]: 133105 [1], given: 12410

If f(x) = x 3 – 4 and f(y) = 4, then y is equal to [#permalink]

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30 Oct 2017, 23:57
1
KUDOS
Expert's post
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Difficulty:

15% (low)

Question Stats:

89% (00:47) correct 11% (00:49) wrong based on 56 sessions

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If f(x) = x^3 – 4 and f(y) = 4, then y is equal to

(A) 0

(B) $$\sqrt[3]{2}$$

(C) $$\sqrt{2}$$

(D) 2

(E) 3
[Reveal] Spoiler: OA

_________________

Kudos [?]: 133105 [1], given: 12410

Intern
Joined: 05 Mar 2017
Posts: 14

Kudos [?]: 1 [0], given: 177

Re: If f(x) = x 3 – 4 and f(y) = 4, then y is equal to [#permalink]

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31 Oct 2017, 08:09
1
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f(y) = y^3 - 4 = 4

so, y^3 = 8

y = 2

D.

Kudos [?]: 1 [0], given: 177

Intern
Joined: 02 Sep 2015
Posts: 37

Kudos [?]: 27 [0], given: 21

Location: India
Concentration: General Management, Entrepreneurship
Schools: Sauder 'Dec 18
GPA: 3.79
WE: General Management (Energy and Utilities)
Re: If f(x) = x 3 – 4 and f(y) = 4, then y is equal to [#permalink]

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31 Oct 2017, 17:54
f(y) = y^3 - 4 = 4

so, y^3 = 8

y = 8^(1/3) = 2

Kudos [?]: 27 [0], given: 21

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1821

Kudos [?]: 943 [0], given: 3

Location: United States (CA)
Re: If f(x) = x 3 – 4 and f(y) = 4, then y is equal to [#permalink]

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01 Nov 2017, 17:10
Bunuel wrote:
If f(x) = x^3 – 4 and f(y) = 4, then y is equal to

(A) 0

(B) $$\sqrt[3]{2}$$

(C) $$\sqrt{2}$$

(D) 2

(E) 3

Since f(x) = x^3 - 4 and f(y) = 4, we see that f(y) = y^3 - 4, and so we have:

y^3 - 4 = 4

y^3 = 8

y = 2

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Scott Woodbury-Stewart
Founder and CEO

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Kudos [?]: 943 [0], given: 3

Re: If f(x) = x 3 – 4 and f(y) = 4, then y is equal to   [#permalink] 01 Nov 2017, 17:10
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