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

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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

Mathematics

1 answer:

omeli [17] · Answer 1 · 2023-05-15T18:15:46+03:00

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

$f^-^1(x)$ has an x-intercept of (-36, 0)
$f^-^1(x)$ has a range of all real numbers.

<h3>Calculations and Parameters:</h3>

Given:

$f(x) = \frac{-2}{3}x - 24$

$f(x) + 24 = \frac{-2}{3}x$

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

= $x= \frac{-3}{2} (f(x) + 24)$

$f^-^1(x) = -\frac{3}{2} (0) - 36$

$f^-^1(x) = -36$

Therefore, $f^-^1(x)$ has an x-intercept of (-36, 0)

Furthermore, $f^-^1(x)$ has a range of all real numbers.