I need a step by step explaination of the example in my book. Find the domain of f(x)=(7x)/(x-8)
How do you possibly expect us to explain something that is in YOUR BOOK ?
What book?
(a^2b/2b-1)^3
Sure! To find the domain of a function, we need to identify all the values of x for which the function is defined. In this case, we have the function f(x) = (7x)/(x-8).
Step 1: Identify any restrictions on the function.
In this case, we have a fraction with a denominator of (x-8). Remember that division by zero is undefined. So, we need to find any values of x that make the denominator equal to zero.
Step 2: Solve for the values of x that make the denominator zero.
To find the values of x that make the denominator equal to zero, we set the denominator (x-8) equal to zero and solve the equation: (x-8) = 0.
(x-8) = 0
x = 8
So, x = 8 is the value that makes the denominator zero. Therefore, x = 8 is a restriction in the domain.
Step 3: Determine all other values of x that are not restricted.
Since x = 8 is the only restriction we found in Step 2, all other values of x are allowed in the domain. The function f(x) = (7x)/(x-8) is defined for all values of x except x = 8.
Therefore, the domain of the function f(x) = (7x)/(x-8) is all real numbers except x = 8.