Composite & Inverse Functions

By the end of this topic you will:

  • know domain, range, inverse, composite functions
  • be able to find f(g(x)) given f(x) and g(x)

8 Responses

  1. Wednesday 25 August, periods 5 & 6

    Definition of a function, set notation, number sets, domain & range.

    Substituting values and expressions into functions.

    Composite functions.

    Discuss targets one-one while class working through algebra.

    Starter – Find the equations of these quadratic functions:
    Quadratic 1

    Quadratic 2

  2. Friday 27 August, period 5

    Practice algebra for composite functions.
    Class to create pairs of functions and calculate f(g(x)) and g(f(x)).

    Homework: Vertex, Focus & Directrix (follow link for more info)
    Due: Friday 3 September

  3. Class worked well while I saw several pupils for 1-1 discussions on their targets.

    Some further practice of trickier functions on Monday.

  4. Monday 30 August, period 1

    Starter: State the minimum value of the fraction {\frac{3}{6 - (x + 2)^2}}

    Further practice of composite functions, including fractional functions, three functions and problem solving.
    Worksheet: Composite Functions

  5. Very disappointing response to starter question.
    Advice and expectations reiterated.
    A similar question will be posed tomorrow.

    Most of worksheet completed – class to complete as part of their revision/practice during the week.

  6. Tuesday 31 August, period 4

    Return marked Algebraic Functions homework and discuss issues arising.
    Remind class about self-assessment & next steps.
    Some pupils will need to redo parts of this exercise.

    Starter similar to previous lesson.

    Inverse Functions
    “If y = 3x – 1, what value of x gives y = -7?”

    Define and create examples to calculate algebraically.

  7. Wednesday 1 September, periods 5 & 6

    Return marked Algebraic Functions homework and discuss issues arising.
    Remind class about self-assessment & next steps.
    Some pupils will need to redo parts of this exercise.

    Starter similar to previous lesson.

    Inverse Functions
    “If y = 3x – 1, what value of x gives y = -7?”

    Define and create examples to calculate algebraically.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s