What is the inverse function of f(x) = -3/2x - 8

f-1(x)=-x-

Step-by-step explanation:

First, switch f(x) to the variable "y".

y=-x-8

Next, swap "x" and "y" with each other.

x=-y-8

Next, lets move the denominator of 2 to the other side by multiplying both sides by 2. Your result will be...

2x=-3y-16

Now move -16 to the left side.

16+2x=-3y

To get "y" by itself, lets divide each side by -3. Our result is...

y=-x-

To finish the problem off, replace y with f-1(x) and your complete answer will be...

f-1(x)=-x-

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1