b) $f(x)=\ln (9 x-7)$

Domain:

Answer

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Answer

Final Answer: The domain of the function $f(x)=\ln (9 x-7)$ is $\boxed{x > \frac{7}{9}}$.

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Step 1 ：The function is given as $f(x)=\ln (9 x-7)$.

Step 2 ：The domain of a function is the set of all possible input values (x-values) which will output real numbers.

Step 3 ：For the function $f(x)=\ln (9 x-7)$, the argument of the logarithm, $(9x - 7)$, must be greater than zero for the function to output real numbers.

Step 4 ：Therefore, we need to solve the inequality $9x - 7 > 0$ to find the domain of the function.

Step 5 ：Solving the inequality gives us $x > \frac{7}{9}$.

Step 6 ：Final Answer: The domain of the function $f(x)=\ln (9 x-7)$ is $\boxed{x > \frac{7}{9}}$.

b) $f(x)=\ln (9 x-7)$ Domain:

Answer

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b) $f(x)=\ln (9 x-7)$

Domain: