Question

What is the domain and range of this function?

f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers

Answer 1

Domain = x > 2 , Range = {R}

Explanation:

The given function to us is ,

`\implies f(x) = log_(10) ( x - 2 ) + 1`

Since logarithm are defined only for positive numbers therefore ,

=> (x - 2) > 0

=> x > 2

Therefore the domain of the function is x > 2 and it can have all positive real numbers .