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The functions f and g are such that f(x)=5x+2 and g(x)=-x-4. a) Find fg(x). b) Find ff(x). c) Solve fg(x) = ff(x).

a) fg(X) = 5(-x-4)+2 = -5x-20+2 = -5x-18b) ff(X) = 5(5x+2)+2 = 25x+10+2 =25x+12c) 25x+12=-5x-18 25x+5x=-18-12 30x=-30 x=-1
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Answered by Maria A. • Maths tutor
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Explain the tenses used in the following utterance: "while I was walking, my mother rang me".

The imperfect tense should be used when translating "while I was walking", followed by the preterit when "my mother rang me".The imperfect is used to give context prior to completed actio...
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Answered by William H. • Spanish tutor
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Find g(f(x)) where g(x)=2x+4 and f(x)=x^2+1.

With functions of functions you work from the inside out, so you substitute the function f(x) for the x in g(x). We know that f(x)=x 2 +1 and g(x)=2x+4. In this question you therefore replace the x in 2x+4 w...
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Answered by Georgina M. • Maths tutor
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How is the theme of violence portrayed in Shakespeare's 'A Midsummer Night's Dream'?

Despite being on of Shakespeare's comedies, A Midsummer Night's Dream ( AMND ) is a play set in the fallout of the Athenian-Amazonian war, and the farces that drive the comedic plots constantly threaten to t...
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Answered by Jaxon S. • English tutor
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A plane is entering a turn, identify the main forces acting on it (including central forces)

The student will draw a picture of a plane with an arrow for weight acting downwards, an arrow for lift acting normal to the wings upwards and an arrow inwards for the central force that a rotating object ha...
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Answered by Daniel G. • Physics tutor
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