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If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?

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Bunuel
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If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)? [#permalink] If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?   13 Dec 2018, 01:37
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If \(f(x) = x + 5\) and \(f(2g) = 19\), what is the value of \(f(3 – g)\)?

A. 0
B. 1
C. 2
D. 3
E. 4
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If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)? [#permalink] If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?   13 Dec 2018, 04:36
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Solution


Given:
    • f(x) = x + 5
    • f(2g) = 19

To find:
    • The value of f(3 – g)

Approach and Working:
    • f(x) = x + 5

Putting, x = 2g in the above equation, we get,
    • f(2g) = 2g + 5, which is given as 9
    • Thus, 2g = 19 – 5 = 14
      o Implies, g = 7

    • Now, f(3 – g) = f(3 – 7) = f(-4) = -4 + 5 = 1

Hence, the correct answer is Option B

Answer: B

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Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)? [#permalink] If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?   30 Aug 2020, 10:04
Asked: If \(f(x) = x + 5\) and \(f(2g) = 19\), what is the value of \(f(3 – g)\)?

f(2g) = 2g + 5 = 19
g = 7
f(3-7) = f(-4) = -4 + 5 = 1

IMO B
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Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 g)? [#permalink] If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?   31 Oct 2022, 10:42
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Given that f(x) = x + 5 and f(2g) = 19 and we need to find the value of f(3 – g)

To find f(2g) we need to compare what is inside the ( ) in f(2g) and f(x)

=> We need to substitute x with 2g in f(x) = x + 5 to get the value of f(2g)

=> f(2g) = 2g + 5 = 19 (given)
=> 2g = 19 - 5 = 14
=> g = \(\frac{14}{2}\) = 7

=> f(3 – g) = f(3 – 7) = f(-4)
=> f(-4) = -4 + 5 = 1

So, Answer will be B
Hope it helps!

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Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 g)? [#permalink] If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?   31 Oct 2022, 12:09
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Bunuel wrote:
If \(f(x) = x + 5\) and \(f(2g) = 19\), what is the value of \(f(3 – g)\)?

A. 0
B. 1
C. 2
D. 3
E. 4


First, we can determine g:

Since f(2g) = 19, we have:

2g + 5 = 19

2g = 14

g = 7

So, the value of f(3 - g) = f(3 - 7) = f(-4) is:

-4 + 5 = 1

Answer: B
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Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 g)? [#permalink] If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 – g)?   07 Feb 2024, 12:18
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Re: If f(x) = x + 5 and f(2g) = 19, what is the value of f(3 g)? [#permalink]
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