Given the function f(x)=2|x+6|-4 for what values of x is f(x) =6
2 answers:
Answer:
x= -1 or x= -11
Step-by-step explanation:
Given : f(x)=2|x+6|-4
To Find : value of x
Solution :
Since we are given that f(x)=6
And f(x)=2|x+6|-4
⇒2|x+6|-4 =6
⇒2|x+6|=6+4
⇒2|x+6|=10
⇒
⇒
Now absolute mode : the absolute value or modulus |x| of a real number x is the non-negative value of x without regard to its sign. Namely, |x| = x for a positive x, |x| = −x for a negative x
⇒x+6=5 or x+6= -5
⇒x=5-6 or x= -5-6
⇒x= -1 or x= -11
Thus for x = -1 or x =-11 , f(x) =6
If 6=2|x+6|-4 Then 10=2|x+6| |x+6|=5 which means x+6=5 OR x+6=-5 so x=-1 OR x=-11
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