Question

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

Answer 1

$\sf{ \underline{SOLUTION}}$

GIVEN

Let the closed interval [a , b] be the domain of function f.

TO DETERMINE

The domain of f(x - 3)

EVALUATION

If a function f (x) is defined on the closed interval [a , b]

Then the graph of f(x-k) is obtained on translation of k units to right of the graph of f(x)

Then the domain of the function f(x-k) is obtained by adding k units to both a and b i.e [ a+k, b + k ]

By same argument the graph of f(x - 3) on translation of 3 units to right of the graph of f(x) .

Hence the domain of the function f(x-3) is obtained by adding 3 units to both a and b i.e [ a + 3 , b + 3 ]

FINAL ANSWER

Let the closed interval [a , b] be the domain of function f.

The domain of f(x - 3) is [ a + 3 , b + 3 ]

━━━━━━━━━━━━━━━━

LEARN MORE FROM BRAINLY

Prove that the curl of the gradient of (scalar function) is zero

https://brainly.in/question/19412715