Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Find Domain of Algebraic Fraction

Find the domain of f(x) = (x + 2)/[sqrt{x - 10}].

I see a radical in the denominator of the algebraic fraction. Disregarding the numerator, must I set the radicand (x - 10) to be greater than or equal to 0 and solve for x?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,143

Re: Find Domain of Algebraic Fraction

That sounds like a good way to proceed.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Find Domain of Algebraic Fraction

Find the domain of f(x) = (x + 2)/[sqrt{x - 10}].

I see a radical in the denominator of the algebraic fraction. Disregarding the numerator, must I set the radicand (x - 10) to be greater than or equal to 0 and solve for x?

Let me see.

x - 10 >= 0

x >= 10...Domain?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,143

Re: Find Domain of Algebraic Fraction

Yes.  Well done!

B

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Find Domain of Algebraic Fraction

Yes.  Well done!

B

This is pretty easy stuff. Once I solve the problem, it all comes back to me. This is review. I took precalculus in the Spring 1993 semester at Lehman College in the Bronx, NY.