Advanced Functions (MHF4U) · Rational Functions

Simplifying Rational Expressions and Identifying Restrictions

10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.

Start the 10 questions Curriculum: MHF4U-RF.1

Sample: the first question, solved

Cancel the common factor in (x²−9)/(x−3) and state the resulting expression, including the restriction.

📘 Worked solution
Factor the numerator as (x−3)(x+3); the (x−3) factor cancels with the denominator, leaving x+3, with restriction x≠3.

And one from the hard end

Find the restrictions on f(x)=1/(x−5).

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

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