Question
The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -15?
- f(-15) = 15, g(-15) = -37
- f(-15) = -15, g(-15) = 7
- f(-15) = 15, g(-15) = 7
- (-15) = 15, g(-15) = -7
Hint:
Know what is an absolute value function and how to use it.
The correct answer is: (-15) = 15, g(-15) = -7
f(x) = IxI
g(x)=-f(x + 15) – 7
g(x) = -Ix + 15I – 7
f(-15) = 15
g(-15) = -I-15 + 15I – 7 = -7
Observe the problem carefully and notice where we have to use just x and where we have to use a function of x.
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