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

Domain:

Answer

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

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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, $(9 x - 7)$ , must be greater than zero for the function to output real numbers.

Step 4 ：Therefore, we need to solve the inequality $9 x - 7 > 0$ 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 $x > \frac{7}{9}$ .

b) f(x)=ln⁡(9x−7) Domain:

Answer

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

Domain: