755 prompts matching "Showing that fg(x) is not the same as gf(x)"
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Explain Back: A binary operation defined on the integers
I have just studied a binary operation defined on the integers in my SS1 Further Mathemati
Spot My Mistake: A binary operation defined on a set of three elements
Act as my SS1 Further Mathematics tutor. Work a question on a binary operation defined on
Worked Example: Testing the even numbers for closure under addition
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on testin
Quiz: Testing the odd numbers for closure under addition
Act as my SS1 Further Mathematics tutor and quiz me on testing the odd numbers for closure
Spot My Mistake: Reading closure off an operation table
Act as my SS1 Further Mathematics tutor. Work a question on reading closure off an operati
Explain Back: What it means for an operation to be associative
I have just studied what it means for an operation to be associative in my SS1 Further Mat
Spot My Mistake: Testing (a*b)*c against a*(b*c)
Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c
Quiz: Finding the identity element from an operation table
Act as my SS1 Further Mathematics tutor and quiz me on finding the identity element from a
Worked Example: Rewriting a negative index as a fraction
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on rewrit
Practice: A fractional index with numerator one, read as a root
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a fractional i
Spot My Mistake: A negative fractional index
Act as my SS1 Further Mathematics tutor. Work a question on a negative fractional index wi
Final Revision: Converting an answer back out of index form
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Practice: Solving 2 to the power x equals 32
Act as my SS1 Further Mathematics tutor. Give me five practice questions on solving 2 to t
Explain Back: An indicial equation with the unknown in the exponent on both sides
I have just studied an indicial equation with the unknown in the exponent on both sides in
Final Revision: Checking an indicial solution by substitution
Act as my SS1 Further Mathematics tutor at the end of the term. Give me a rapid recap of c
Worked Example: Writing an index statement as a logarithm
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on writin
Quiz: Writing a logarithm as an index statement
Act as my SS1 Further Mathematics tutor and quiz me on writing a logarithm as an index sta
Practice: Evaluating log to base 2 of 8
Act as my SS1 Further Mathematics tutor. Give me five practice questions on evaluating log
Worked Example: The law for the logarithm of a quotient
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on the la
Quiz: The law for the logarithm of a power
Act as my SS1 Further Mathematics tutor and quiz me on the law for the logarithm of a powe