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Juan Carlos graphs the functions f(x) = 8x - 2 and g(x) = -8x + 2
At what point will the graphs of these functions intersect? Write your answer as a decimal.
What is the solution to the equation f(x) = g(x)?
11

Respuesta :

MrRoyal

Answer:

[tex]x = 0.25[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 8x - 2\\ g(x) = -8x + 2[/tex]

Required

Determine their point of intersection

To do this, we simply do:

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

This gives:

[tex]8x - 2 = -8x + 2[/tex]

Collect Like Terms

[tex]8x + 8x = 2 + 2[/tex]

[tex]16x = 4[/tex]

Solve for x

[tex]x = 4/16[/tex]

[tex]x = 0.25[/tex]

Hence:

Their point of intersection is at [tex]x = 0.25[/tex]

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