vinnik wrote:
Let f(a) = a - 5
g(b) = 5 - b.
What is the value of |f(x)| - |g(x)| + |f(g(x)| ?
A. |x - 10|
B. 3x + 10
C. |x|
D. |x - 5|
E. x
What is wrong with
Thanks & Regards
Vinni
Hi! This is a really good question. Here's how I solved it:
Let x= 10
f(10) = 10-5 = 5
g(b) = 5-10 = -5
f(g(10) = f(-5) = -5-5= -10
Now, let's look at the equation:
|f(x)| - |g(x)| + |f(g(x)|
|5| - |-5| + |-10|
Ans: |-10|
Given answers:
A. |x - 10| = | 10-10| = |0| ~Wrong.
B. 3x + 10 = 30 + 10 = 40 ~ Wrong.
C. |x| = |10| ~ matches the derived ans
D. |x - 5| ~ |10-5| = |5| ~Wrong
E. x = 10 ~ Wrong