Respuesta :

Answer:

16x + 8

Explanation:

To simplify the expression [tex]f(4x + 3)[/tex] for [tex]f(x) = 4x - 4[/tex], we substitute [tex]x[/tex] in [tex]f(x)[/tex] with [tex]4x + 3[/tex]. This gives us:

- First, replace [tex]x[/tex] in [tex]4x - 4[/tex] with [tex]4x + 3[/tex], resulting in [tex]4(4x + 3) - 4[/tex].

- Then, distribute the [tex]4[/tex] across the terms inside the parentheses: [tex]16x + 12 - 4[/tex].

- Finally, combine like terms: [tex]16x + 8[/tex].

Tips:

  • When simplifying expressions, always substitute variables carefully to avoid mistakes.
  • After substitution, distribute any constants outside parentheses across terms inside.
  • Combine like terms at the end to simplify the expression fully.

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