Respuesta :

The output values of f(8x²), f(8x²+9x) and f(-8x²) in the given function are -24x² + 4, -24x² - 27x + 4 and 24x² + 4 respectively.

What are the output values of f(8x²), f(8x²+9x) and f(-8x²) in the given function?

Given the function in the question;

  • f(x) = -3x + 4
  • f(8x²) = ?
  • f(8x²+9x) = ?
  • f(-8x²) = ?

To determine the output of f(8x²), replace all the occurrence of x in the function with 8x² and simplify.

f(x) = -3x + 4

f(8x²) = -3(8x²) + 4

f(8x²) = -24x² + 4

To determine the output of f(8x²+9x), replace all the occurrence of x in the function with 8x²+9x and simplify.

f(x) = -3x + 4

f(8x²+9x) = -3(8x²+9x) + 4

f(8x²+9x) = -3(8x²+9x) + 4

f(8x²+9x) = -24x² - 27x + 4

To determine the output of f(-8x²), replace all the occurrence of x in the function with -8x² and simplify.

f(x) = -3x + 4

f(-8x²) = -3(-8x²) + 4

f(-8x²) = 24x² + 4

Therefore, the output values of f(8x²), f(8x²+9x) and f(-8x²) in the given function are -24x² + 4, -24x² - 27x + 4 and 24x² + 4 respectively.

Learn more about function composites here: https://brainly.com/question/20379727

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