Question

Could someone explain to me how to solve this? What’s a real number? And how do I find x

Answer 1

`\boxed{(15)/(14) }`

Explanation:

The domain of a function is the set of all possible values for x.

If the denominator of the function equals 0, then the output is undefined.

Put up an equation to solve for x.

14x - 15 = 0

Add 15 to both the sides.

14x = 15

Divide both sides by 14.

`\displaystyle (14x)/(14) =(15)/(14)`

x =
`\displaystyle (15)/(14)`

Answer 2

The domain is all real numbers but x ≠15/14

Explanation:

The domain is the numbers that are allowed for x

f(x) = 50 / (14x-15)

The denominator is not allowed to go to zero or we are dividing by zero

14x-15 cannot equal zero

14x-15≠0

Add 15 to each side

14x ≠15

Divide by 14

x ≠15/14

The domain is all real numbers but x ≠15/14

Real numbers are those that can be shown on a number line.