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Given the function f(x) = 2 x + 61 - 4, for what values of x is f(x) = 6?

O x= -1, x = 11

Ox=-1, x = -11

O x= 14 = -26

O x= 26, x=-14

Sagot :

MrRoyalidn

Answer:

[tex]x = -1[/tex] or [tex]x = -11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2|x+6| - 4[/tex]

Required

Find x when

[tex]f(x) = 6[/tex]

Substitute 6 for f(x)

[tex]6 = 2|x+6| - 4[/tex]

Add 4 to both sides

[tex]4+6 = 2|x+6| - 4+4[/tex]

[tex]10 = 2|x+6|[/tex]

Divide both sides by 2

[tex]5 = |x + 6|[/tex]

Rewrite as:

[tex]|x + 6| = 5[/tex]

This can be split to:

[tex]x + 6 = 5[/tex] or [tex]-(x + 6)=5[/tex]

Solve for x in both cases

[tex]x = 5 - 6[/tex] or [tex]x + 6 = -5[/tex]

[tex]x = -1[/tex] or [tex]x = -6 - 5[/tex]

[tex]x = -1[/tex] or [tex]x = -11[/tex]

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