Find the Domain of the function g(x)=7/7-4x Please help me understand this better Thanks
To find the domain of a function, we need to consider the values of "x" for which the function is defined. In this case, we have the function g(x) = 7 / (7 - 4x).
The denominator of the function is 7 - 4x. For the function to be defined, the denominator cannot equal zero (division by zero is undefined). So, we need to find the values of "x" that make the denominator equal to zero.
To find those values, we can set the denominator equal to zero and solve for "x":
7 - 4x = 0
We can subtract 7 from both sides of the equation:
-4x = -7
Then, divide both sides of the equation by -4:
x = -7 / -4
Simplifying the fraction:
x = 7/4
Therefore, the function g(x) is not defined at x = 7/4. So, the domain of the function is all real numbers except x = 7/4. In interval notation, the domain can be written as (-∞, 7/4) U (7/4, +∞).
I hope this explanation helps you better understand how to find the domain of a function! Let me know if you have any further questions.