Question

Let g(x) = 4x − 4 + |x + 6|. find all values of a which satisfy the equation g(a) = 3a + 2. (enter your answers as a comma-separated list. if an answer does not exist, enter dne.)

Answer 1

Try this explanation, if it is possible check it in other sources:

let 'z' common variable for g(x) and g(a).

Then 4z-4+|z+6|=3z+2; ⇔ z-6+|z+6|=0; ⇔ z∈(-oo;-6)∩{0}.

All the additional details are in the attachment.

answer: (-oo;-6)∩{0}