Write the inverse of f(x) = 3x - 1 f -1(x) =

log 3 x + 1
log 3 ( x - 1)
log 3 x - 1

Step-by-step explanation:

Firstly, the inverse of f(x) exists because f(x) is an injective and surjective function.

y = 3x - 1

3x = y + 1

x = 1/3 * (y + 1)

Therefore inverse of f(x) = 1/3 * (x+ 1).

I do not see any log here so let me know if there's addition information!

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%