(remember to show work and explain.)

find the inverse of the functions.

1)

↪y=ln(x-1)

Interchange role of x and y,

↪x=ln (y-1)

Changing it to exponential form,

↪e^x=y-1

↪y=e^x+1

↪inverse of f(x)=y=e^x +1

2)

↪y=ln(2x)

Interchange role of x and y,

↪x=ln(2y)

Changing it to exponential form,

↪e^x=2y

↪y=(e^x)/2=inverse of f(x)

3)

↪y=e^3x

Interchange role of x and y,

↪x=e^3y

Take log on both sides,

↪ln x= ln {(e)^3y}

I have used property of log here to further simplify...

↪ln x= 3y × ln(e)

↪ln x=3y × 1 {as ln e=1}

↪y=ln(x)/3 =inverse of f(x)

tangent

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05