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Vlada [557]
3 years ago
11

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

Mathematics
2 answers:
givi [52]3 years ago
4 0

The correct answer on edgen. is

<u>B) domain: x > 1; range: all real numbers</u>

<u></u>

marta [7]3 years ago
3 0

Answer: Domain = (-1, \infty)

Range = (-\infty, \infty)

Step-by-step explanation:

Here, the given function,

f(x) = log(x-1) + 2

Since log( negative number ) = not defined

Also,

log(0) = -\infty

Hence, f(x) is defined if x - 1 > 0

⇒ x > 1

Thus, f(x) is defined for all the values that are greater than 1,

⇒ Domain of f(x) = All real number greater than 1,

= (1, \infty)

Now, for the interval (1, \infty),

f(x) can be any real number.

Thus, the range of the given function = (-\infty, \infty)

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