acwood5810 acwood5810
  • 02-10-2018
  • Mathematics
contestada

If the range of the function f(x) = 7x – 2.7 is {14.1, 30.9, 41.4, 58.9, 68}, what is its domain?

Respuesta :

jimrgrant1 jimrgrant1
  • 02-10-2018

domain is {2.4, 4.8, 6.3, 8.8, 10.1 }

For domain, equate f(x) to each value in the range and solve for x

7x - 2.7 = 14.1 ⇒ x = [tex]\frac{x14.1 + 2.7}{7}[/tex] = 2.4

7x - 2.7 = 30.9 ⇒ x = [tex]\frac{30.9 + 2.7}{7}[/tex] = 4.8

7x - 2.7 = 41.4 ⇒ x = [tex]\frac{41.4 + 2.7}{7}[/tex] = 6.3

7x - 2.7 = 58.9 ⇒ x = [tex]\frac{58.9 + 2.7}{7}[/tex] = 8.8

7x - 2.7 = 68 ⇒ x = [tex]\frac{68 + 2.7}{7}[/tex] = 10.1


Answer Link
Taiga1000 Taiga1000
  • 18-01-2022

Answer:

{2.4, 4.8, 6.3, 8.8, 10.1}

Step-by-step explanation:

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