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22 Oct 2020, 12:41
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Given f (x) = 2x − 7, for what value of x, does 3f (x) − 3 = f (2x − 6)?
A. 1/5
B. 2/5
C. 1
D. 5/2
E. 5
A. 1/5
B. 2/5
C. 1
D. 5/2
E. 5
yashikaaggarwal
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22 Oct 2020, 13:23
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Given: f (x) = 2x − 7,
To find: for what value of x, does 3f(x) − 3 = f (2x − 6)?
Solution:
3(2x-7) -3 = 2(2x-6)-7
6x-21-3 = 4x-12-7
6x-24 = 4x-19
2x = 5
X = 5/2
Answer is D
Posted from my mobile device
To find: for what value of x, does 3f(x) − 3 = f (2x − 6)?
Solution:
3(2x-7) -3 = 2(2x-6)-7
6x-21-3 = 4x-12-7
6x-24 = 4x-19
2x = 5
X = 5/2
Answer is D
Posted from my mobile device
22 Oct 2020, 15:06
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Bunuel
Given f (x) = 2x − 7, for what value of x, does 3f (x) − 3 = f (2x − 6)?
A. 1/5
B. 2/5
C. 1
D. 5/2
E. 5
A. 1/5
B. 2/5
C. 1
D. 5/2
E. 5
Left side \(= 3*f(x) - 3 = 3(2x - 7) - 3 = 6x - 21 - 3 = 6x - 24\).
Think of the function as \(f(y) = 2y - 7\), when we want to evaluate f(2x - 6) we replace all y's with 2x - 6.
Then \(f(2x - 6) = 2*(2x - 6) - 7 = 4x - 12 - 7 = 4x - 19\).
Finally 6x - 24 = 4x - 19 and 2x = 5.
Ans: D
