Composite Functions (Edexcel A-Level Mathematics): Quizzes

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Composite Functions
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What does the notation fg(x)fg(x) mean?

Apply gg first, then apply ff

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

hh

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}

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

e43e^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

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

x=199x = -\frac{19}{9}

In the box notation f[]=32f[\square] = 3\square - 2, what does \square represent?

The input to the function

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