Find the domain of the function
g(x)=2/4-5x
Help!!!!
I will assume you meant
f(x) = 2/(4-5x)
The denominator cannot be zero, so x ≠ 5/4
domain: any value of x , x ≠ 5/4
Or, rather, 4/5
To find the domain of a function, we need to determine the values of x for which the function is defined. In this case, we have the function:
g(x) = 2/(4 - 5x)
The denominator of the function is 4 - 5x. For the function to be defined, the denominator cannot be equal to zero, as division by zero is undefined. Therefore, we need to exclude any x-values that make the denominator zero.
To find these x-values, we solve the equation 4 - 5x = 0 for x:
4 - 5x = 0
-5x = -4
x = -4/(-5)
x = 4/5
So, the value x = 4/5 makes the denominator zero. This means that x = 4/5 is not in the domain of the function.
Therefore, the domain of the function g(x) = 2/(4 - 5x) is all real numbers except x = 4/5. In interval notation, the domain can be expressed as (-∞, 4/5) ∪ (4/5, +∞).