What is the inverse of the function f(x) = 2x + 1?
o h(x) =
o n(x) = 5x+ 3
o nx) = {x-2
h(x) = 5x + 2

Step-by-step explanation:

let : f(x) = y

y = 2x+1 calculate : x

2x = y - 1

x = (1/2)y - 1/2

the inverse of the function f(x) = 2x + 1 is h(x) =  (1/2) x - 1/2

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week