Someone please help me
I have g(x)=7/5-5x
It says to find the domain
I am unsure how to write it out as it is all real numbers
I wrote it like this is it correct?
{x|x>4/5}
The > sign has a underline under it*****
Do you mean g(x) = (7/5) - 5x
or
7/(5 -5x) ?
Where did you get the 4/5? In the latter case, x can be any number but 1.
I apologize I wrote that completely wrong it should have read
g(x)7
___
4-5x
I think I have it
I have
{X|X=4 } The = has a line for through
__
5
To find the domain of a function, we need to identify all possible values that the input variable (in this case, x) can take without causing any issues. In this case, the only issue we need to consider is the denominator of the function g(x), which is 5 - 5x. Since division by zero is undefined, we need to ensure that the denominator is not equal to zero.
To do this, we set the denominator equal to zero and solve for x:
5 - 5x = 0
To solve for x, we isolate the variable:
-5x = -5
x = 1
Therefore, x cannot be equal to 1 because it would result in division by zero. Thus, the value 1 should be excluded from the domain.
However, you mentioned that you want to express the domain as "all real numbers." In this case, the domain of the function g(x) would indeed be all real numbers except for x = 1. This can be expressed using interval notation as (-∞,1) U (1,∞), or in set notation as {x | x ≠ 1}.