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

Respuesta :

Answer:

domain: x > 1; range: all real numbers

Step-by-step explanation:

Given function:    [tex]f(x)=\log(x-1)+2[/tex]

Logarithms are not defined for zero or negative numbers.

[tex]\implies (x-1) > 0 \implies x > 1[/tex]

Therefore:

  • domain (input values):  [tex]x > 1[/tex]
  • range (output values):  all real numbers

Answer:

B is correct. domain: x > 1; range: all real numbers

Step-by-step explanation: