Ok im going to make this blog post short and sweet. Today in class we learned about Composition. The easiest way to show you what that is, is by example. So here goes...
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f(x)=x + 2 and g(x)=x^2+3
(f o g) (x)= f(g(x)) this means "f composed with g of x"
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(f o g) (x)= f(g(x)
=f(x^2+3)
= (x^2+3) + 2
=x^2 + 5
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(g o f)(x)= g(f(x))
=g (x+2)
=(x+2)^2 + 3
= x^2 + 4x + 7
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These are examples of the reverse way of doing it. Knowing the solution and trying to find g(x) and f(x)
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(f o g)(x)= x + 3√x+1
f(x)=x^2+3x+1
g(x)=√x
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or
f(x)=x+3√x+1
g(x)=x
g(x)=x is a trivial solution, don't use them on the test, you will get marked down :(
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the hw today is assigment 7 section 1.4
(46,47,49) (a & b), 52, 53, 55, 58, 59, 63, 75, 84, 86, 90, 99-101
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plus a neat vid nothing to do with math
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