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If f(x)=x^2 and g(x)=5x-11, then what is fgg(x) when x=3?

g(3)=5(3)-11=15-11= 4 gg(3)=g( 4 )=5(4)-11= 20-11= 9 fgg(3)=f( 9 )=9 2 =81 fgg(3)=81
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Answered by Simon M. • Maths tutor
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Express (x+1)/2x + (2x+3)/(x+1) as one term

(x+1) 2 + 2x(2x+3) / 2x(x+1)
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Answered by Alex R. • Maths tutor
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A uniform ladder of mass 5 kg sits upon a smooth wall and atop a rough floor. The floor and wall are perpendicular. Draw a free body diagram for the ladder (you do not need to calculate any forces).

Diagram should include two orthogonal lines, representing the wall and floor. Connecting them should be a diaganol line (the ladder) At the midpoint of the line should be a vertical downward arrow whose head...
DG
Answered by Dean G. • Maths tutor
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How do you integrate ?

In order to integrate an algebraic term, such as 8x 3 + 4, one must first take the power of the first term and increase this by 1, getting 8x 4 . Secondly , divide the coefficient on x by the new power, in t...
LH
Answered by Louie H. • Maths tutor
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Explain the chain rule of differentiation

The chain rule can be used to find more complex derivatives.For example, in the case of: y = (5x + 2) 5 To find the derivative in the ordinary fashion, one would need to expand the brackets to:y=3125x 5 +625...
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Answered by Toby H. • Maths tutor
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