Question

let the closed interval [a , b] be the domain of function f. the domain of f(x - 3) is given by​

Answer 1

Given info : the closed interval [a , b] be the domain of function f(x).

To find : the domain of function f(x - 3)is given by,

Solution : domain of any function y = f(x) is the each and every value of independent variable. I.e., value of x.

so, domain of function f(x) means value of x and that is [a, b]

so, a ≤ x ≤ b ......(1)

We have to find the domain of function f(x -3), so, putting x - 3 in place of x in eq (1)

a ≤ x - 3 ≤ b

⇒a + 3 ≤ x ≤ b + 3

Therefore the domain of function f(x - 3) is [a + 3, b + 3]

also read similar questions : let f be a function whose domain is the set of all real number.if f(x) =|x|-x, what is the range of f

https://brainly.in/question/25612186

If domain of f(x) is [1, 2], then the domain of 2 f log x is

https://brainly.in/question/7785871