What value or values of x satisfy 2|x+5.3|=4.2

a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

we have

Step 1

Find the first solution (case positive)

Eliminate the parenthesis left side

Subtract both sides

Divide by both sides

Step 2

Find the second solution (case negative)

Eliminate the parenthesis left side

Adds both sides

Divide by both sides

therefore

the answer is the option C

x can equal –3.2 or –7.4

i think is g(1)=-1.

hope that i can