Given the function f(X)= |3x-7|, find the values of X that satisfy the equation f(X) = 4
1 answer:
Answer:
x = 1 or x =
Step-by-step explanation:
The expression inside the absolute value function can be positive or negative
That is 3x - 7 = ± 4
There are 2 equations to solve
(1)
3x - 7 = 4 ( add 7 to both sides )
3x = 11 ( divide both sides by 3 )
x =
(2)
3x - 7 = - 4 ( add 7 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
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3x + 7 = x
First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like:
= x
Fourth, simplify to 
/ Your problem should look like: 
= x
Fifth, switch sides. / Your problem should look like: x =
Answer as fraction:
Answer as decimal: -3.5
First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like:
Fourth, simplify
Fifth, switch sides. / Your problem should look like: x =
Answer as fraction:
Answer as decimal: -3.5