755 prompts matching "Structured question: find fg(x) and gf(x)"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Set-builder notation basics
I am in SS 1. I'm going to explain reading and writing sets using set-builder notation, su
Number of elements in a set from a Venn diagram region count
I am in SS 1. I'm going to explain counting n(A only), n(B only) and n(A and B) separately
Power set of a three-element set
I am in SS 1. I'm going to explain listing the full power set of a three-element set, incl
Logical reasoning puzzle solved using sets
I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people
Recurring decimals as an infinite geometric series
I am in SS 1. I'm going to explain how a recurring decimal, such as 0.777..., can be writt
Common student mistakes with progression formulas
I'm going to explain the most common mistakes SS1 students make when applying the AP and G
Gradient as a rate of change interpretation
I am in SS 1. I'm going to explain interpreting the gradient of a straight-line graph as a
Subtracting two algebraic fractions
I am in SS 1. I'm going to explain subtracting two algebraic fractions with different deno
Solving simultaneous linear equations by substitution
I am in SS 1. I'm going to explain solving a pair of simultaneous linear equations by the
Solving a word problem using simultaneous equations
I am in SS 1. I'm going to explain a word problem that must be solved by setting up and so
Worked Example: Why the square root of a non-square whole number is irrational
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th
Explain Back: Where the surds sit on the number line
I have just studied where the surds sit on the number line in my SS1 Further Mathematics c
Worked Example: What makes two surds equal
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on what m
Worked Example: Adding two surds that simplify to the same root
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding
Explain Back: Multiplying root a by root b
I have just studied multiplying root a by root b in my SS1 Further Mathematics class. Let
Worked Example: Rationalising a denominator that is a single surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration
Explain Back: Simplifying the answer once the denominator is rational
I have just studied simplifying the answer once the denominator is rational in my SS1 Furt
Worked Example: Why multiplying by the conjugate clears the surd
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why mu
Explain Back: The difference of two squares applied to surd conjugates
I have just studied the difference of two squares applied to surd conjugates in my SS1 Fur
Worked Example: Squaring both sides safely when solving a surd equation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on squari