Which function must have a restricted domain in order to have an inverse function?
a. f(x)= 6x -10
b. f(x) =8x^2-6x+10
c. f(x) =3(x-2)^3+1
d. f(x)= √x+3

B

Step-by-step explanation:

Consider the function

Rewrite it as

The domain of this function is and the range is

Find the inverse function:

So, the domain of the inverse function is and the range will be

So, the domain must be restricted

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.