How do you find the domain and range of $f (x) = {log}_{5} (x - 1) + 4$ $f(x)= log_5 (x-1) + 4$ ?

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How do you find the domain and range of $f (x) = {log}_{5} (x - 1) + 4$ $f(x)= log_5 (x-1) + 4$ ?

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Answer 1 · 2015-05-12T18:37:23

The domain is $D = (1; + \infty)$ $D=(1;+oo)$ range is $RR$

To calculate the domain you have to know that the logarythn is only defined for positive numbers, so you have to solve $x-1>0$ and then you get $D=(1;+oo)$

In case of the range you don't need to calculate anything. The logarythm functions can have all real values, so the range is $RR$ .

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How do you find the domain and range of $f (x) = {log}_{5} (x - 1) + 4$ $f(x)= log_5 (x-1) + 4$ ?

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How do you find the domain and range of f(x)= log_5 (x-1) + 4f(x)=log5(x−1)+4f(x)= log_5 (x-1) + 4?

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How do you find the domain and range of $f (x) = {log}_{5} (x - 1) + 4$ $f(x)= log_5 (x-1) + 4$ ?