Question

F is function that take real number x and perform these four steps.

Answer 1

In this question, we are not given the function /equation, however, we are to find the funtion that takes real numbers x :

so, we will map all subset of the set R of all real numbers into R

lets take :

f(x) = 2(x) , where x= 0; +_1; +_2; +-3.....is a mapping of R of all intergers

(a) Multipy by -1

f(x) = -2x

(b)Add 1

f(x) = 2x +1

(c) square root

f(x) = √(2x+1)

(d) take reciprocal

x =√(2y +1) ... solve for y

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

expression for f (x) = √(2x+1)

Domain : x ≥-1/2

interval notation :[-1/2 ; ∞)