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26 Jan 2022, 09:45
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B
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Difficulty:
75%
(hard)
Question Stats:
46% (01:56) correct
54%
(02:00)
wrong
based on 92
sessions
History
Date
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Not Attempted Yet
If \(f(x) = -g(-x)\) for all real numbers x, what is the value of \(g(f(4))\), given that (-4, 7) is a point on the graph of g?
A. f(7)
B. -f(7)
C. f(-7)
D. -f(-7)
E. f(f(7))
A. f(7)
B. -f(7)
C. f(-7)
D. -f(-7)
E. f(f(7))
27 Jan 2022, 03:32
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Since, (-4,7) is a point on graph of g
Therefore, g(-4)=7
Now, g(f(4)) = g(-g(-4) = g(-7) = -f(7)
Since f(7) = -g(-7)
Posted from my mobile device
Therefore, g(-4)=7
Now, g(f(4)) = g(-g(-4) = g(-7) = -f(7)
Since f(7) = -g(-7)
Posted from my mobile device
01 Nov 2022, 01:28
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Given that f(x) =- g(-x) and (-4, 7) is a point on graph g and we need to find the value of g(f(4))
Given that (-4, 7) is a point on graph g
=> g(-4) = 7
f(x) =- g(-x)
=> f(4) = -g(-4) = -7
=> g(f(4)) = g(-g(-4)) = g(-7)
f(x) = -g(-x)
=> g(-x) = -f(x)
=> g(-7) = -f(7)
=> g(f(4)) = g(-7) = -f(7)
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
Given that (-4, 7) is a point on graph g
=> g(-4) = 7
f(x) =- g(-x)
=> f(4) = -g(-4) = -7
=> g(f(4)) = g(-g(-4)) = g(-7)
f(x) = -g(-x)
=> g(-x) = -f(x)
=> g(-7) = -f(7)
=> g(f(4)) = g(-7) = -f(7)
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
