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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