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Find domain of f(x) = [(x - 4)/(x - 10)] + 4
Is the first step to combine the fractions?
[(x - 4)/(x - 10)] + (4/1)
LCD = (x - 10)
[(x - 4) - 4(x - 10)]/(x - 10)
[(x - 4) - 4x + 40)]/(x - 10)
(-3x + 36)/(x - 10)
I see that it really does not make a difference if I combine the fractions or not.
Set denominator to 0 and solve for x.
x - 10 = 0
x = 10
Let R = all real numbers.
Domain = R except x cannot be 10.
How is this written in interval and inequality notation?
Is the first step to combine the fractions?
[(x - 4)/(x - 10)] + (4/1)
LCD = (x - 10)
[(x - 4) - 4(x - 10)]/(x - 10)
[(x - 4) - 4x + 40)]/(x - 10)
(-3x + 36)/(x - 10)
I see that it really does not make a difference if I combine the fractions or not.
Set denominator to 0 and solve for x.
x - 10 = 0
x = 10
Let R = all real numbers.
Domain = R except x cannot be 10.
How is this written in interval and inequality notation?
