Question

What are the domain and range of f (x) = log (x minus 1) + 2?

domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers

Answer 1

B on edge

Explanation:

Just took the test :)

Answer 2

domain: x > 1; range: all real numbers

Explanation:

Given function:
`f(x)=\log(x-1)+2`

Logarithms are not defined for zero or negative numbers.

`\implies (x-1) > 0 \implies x > 1`

Therefore:

• domain (input values):
  `x > 1`
• range (output values): all real numbers