Question: Problem 6.4. (a) Let f(x) = x + |2x 1|. Find all solutions to the equation f(x) = 8. (b) Let g(x) = 3x 3

Problem 6.4. (a) Let f(x) = x + |2x 1|. Find

all solutions to the equation

f(x) = 8.

(b) Let g(x) = 3x 3 + |x + 5|. Find all values

of a which satisfy the equation

g(a) = 2a + 8.

(c) Let h(x) = |x| 3x + 4. Find all solutions

to the equation

h(x 1) = x 2.

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