To which interval would we restrict f(x) = cos (x-π/4) so that f(x) is invertible?

The range of x values for which y is unique is 2·π

Step-by-step explanation:

For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x

Hence, f(x) = cos(x - π/4) gives

the x intercept at two penultimate points of the graph of cos(x - π/4) are;

x = 2.36, and x = 8.64

x = 3/4·π, and x = 2.75·π =

Hence the range of x values for which y is unique is presented as follows

The range of x values for which y is unique = 2·π.

Answer :-

F. The sum of two ration number is a rational number.

Eg - 1/2 + (-1)/3

3 - 2/3 = 1/3

G. 0 is not a rational number

False. Because 0 can't be represented as p/q form.

H. The product of two rational numbers is also a rational number.

True.

Eg - 1/2 × 3/4 = 3/8

J.The opposite of a rational number is also a rational number.

True. Eg - 1/2 and 2/1