jeremiahr2023
contestada

Consider the function.
f(x) = -2/3x-24
Which conclusions can be drawn about f-¹(x)? Select two options.
O f-1(x) has a slope of -2/3.
O f-¹(x) has a restricted domain.
O f-¹(x) has a y-intercept of (0, -36).
O f-¹(x) has an x-intercept of (-36, 0).
O f-1(x) has a range of all real numbers.

Respuesta :

MrRoyal

The conclusions about f⁻¹(x) are (c) f⁻¹(x) has a y-intercept of (0, -36) and (e) f⁻¹(x) has a range of all real numbers.

How to determine the conclusions?

The function is given as:

f(x) = -2/3x - 24

Express f(x) as y

y = -2/3x - 24

Swap x and y

x = -2/3y - 24

Add 24 to both sides

x + 24 = -2/3y

Make y the subject

y = -3/2x - 36

Rewrite as:

f⁻¹(x) = -3/2x - 36

A linear equation is represented as:

y = mx + b

Where:

m represents the slope and b represents the y-intercept

This means that:

Slope = -3/2

Y-intercept = -36 or (0,-36)

Hence, the conclusions about f⁻¹(x) are (c) f⁻¹(x) has a y-intercept of (0, -36) and (e) f⁻¹(x) has a range of all real numbers.

Read more about inverse functions at:

https://brainly.com/question/14391067

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