Composite Functions (AQA A-Level Mathematics): Quizzes

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Composite Functions
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What does fg(x)fg(x) mean in function notation?

f(g(x))f(g(x))

If f(x)=exf(x) = e^x and g(x)=x23g(x) = x^2 - 3, what is fg(x)fg(x)?

ex23e^{x^2-3}

If g(x)=x23g(x) = x^2 - 3, what is gg(x)gg(x)?

(x23)23(x^2-3)^2 - 3

If f(x)=exf(x) = e^x, what is ff(x)ff(x)?

eexe^{e^x}

In fg(x)fg(x), which function is applied first?

gg

If f(x)=exf(x) = e^x and g(x)=x23g(x) = x^2 - 3, what is fg(e2)fg(e^2)?

ee43e^{e^4-3}

If f(x)=3x2f(x) = 3x - 2 and g(x)=3x+7g(x) = 3x + 7, what is fg(x)fg(x)?

9x+199x + 19

For y=9x+19y = 9x + 19, at what xx-coordinate does the graph meet the xx-axis?

199-\frac{19}{9}

If f(x)=3x2f(x) = 3x - 2 and g(x)=3x+7g(x) = 3x + 7, where does y=fg(x)y = fg(x) meet the xx-axis?

(199,0)(-\frac{19}{9}, 0)

What does a function do to a number?

Eats it, does something, spits result

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