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Consider the function FX equals -2/3 X -24 which conclusions can be drawn about F negative 1X select two options a F negative 1X has a slope of -2/3 F1X has a restricted domain of negative 1X has a slight intercept of zero -36 -1 and 7X intercept of -3 60 negative 1X has a range of all real numbers

Sagot :

jayilych4real

The conclusions that can be drawn about f–1(x) are:

  • [tex]f^-^1(x)[/tex] has an x-intercept of (-36, 0)
  • [tex]f^-^1(x)[/tex] has a range of all real numbers.

Calculations and Parameters:

Given:

[tex]f(x) = \frac{-2}{3}x - 24[/tex]

[tex]f(x) + 24 = \frac{-2}{3}x[/tex]

To find x, we would multiply both sides by -2/3

= [tex]x= \frac{-3}{2} (f(x) + 24)[/tex]

[tex]f^-^1(x) = -\frac{3}{2} (0) - 36[/tex]

[tex]f^-^1(x) = -36[/tex]

Therefore, [tex]f^-^1(x)[/tex]  has an x-intercept of (-36, 0)

Furthermore, [tex]f^-^1(x)[/tex] has a range of all real numbers.

Read more about real numbers here:

https://brainly.com/question/17020343

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