Question

If f(x) = |x| + 1, g(x) = 2x - 1, and fog(x) = 2, find the sum of values of x.

• A. 1

Answer 1

The correct option is A 1
f(x) = |x| + 1and g(x) = 2x - 1
fog(x) = f(g(x))
fog(x) = f(2x - 1)
fog(x) = |2x - 1| + 1
Put fog(x) = 2 in above equation
2 = |2x - 1| + 1
|2x - 1| = 1
2x - 1 = 1 or 2x - 1 = -1
2x = 2 or 2x = 0
x = 1 or x = 0
So, sum of values of x = 1