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# If f(x) = 2x— 2 and g(x) = 4 — x, then f(g(x)) = g(f(x)) for

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If f(x) = 2x— 2 and g(x) = 4 — x, then f(g(x)) = g(f(x)) for [#permalink]  31 May 2020, 10:08
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Question Stats:

90% (01:05) correct 10% (00:51) wrong based on 10 sessions
If $$f(x) = 2x- 2$$ and $$g(x) = 4 - x$$, then $$f(g(x)) = g(f(x))$$ for which of the following x values?

Indicate all such values.

❑ -2

❑ -1

❑ 0

❑ 1

❑ 2

❑ None of the above
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 11958
Followers: 252

Kudos [?]: 2983 [0], given: 11204

Re: If f(x) = 2x— 2 and g(x) = 4 — x, then f(g(x)) = g(f(x)) for [#permalink]  31 May 2020, 10:09
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Kudos [?]: 49 [1] , given: 21

Re: If f(x) = 2x— 2 and g(x) = 4 — x, then f(g(x)) = g(f(x)) for [#permalink]  31 May 2020, 20:17
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f(g(x)) = 2(g(x))-2 = 2(4-x)-2 = 6-2x
g(f(x)) = 4-(f(x)) = 4-(2x-2) = 6-2x
f(g(x)) = g(f(x)), for any value of x
Re: If f(x) = 2x— 2 and g(x) = 4 — x, then f(g(x)) = g(f(x)) for   [#permalink] 31 May 2020, 20:17
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