# Functions machine help!

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#1
Function 1 is given by y = x - 1 and function 2 is given by y = 3x^2.
Show that the equation for the composite function formed by function 1 followed by function 2 is the same as y = 3x^2 - 6x + 3.
Last edited by Soul Wavel3ngth; 2 years ago
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2 years ago
#2
(Original post by Soul Wavel3ngth)
Function 1 is given by y = x - 1 and function 2 is given by y = 3x^2.
Show that the equation for the composite function formed by function 1 followed by function 2 is the same as y = 3x^2 - 6x + 3.
say f(x) = x-1 and g(x)=3x^2
essentially the question is asking how would g(f(x)) look like so:
3(x-1)^2
= 3(x^2-2x+1)
=3x^2 - 6x + 3
therefore y = 3x^2 - 6x + 3.
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#3
So function machines aren't needed? Because it says "Function 1 followed by function 2". But your method seems reasonable so I guess i'll try that.
(Original post by SoCraZy)
say f(x) = x-1 and g(x)=3x^2
essentially the question is asking how would g(f(x)) look like so:
3(x-1)^2
= 3(x^2-2x+1)
=3x^2 - 6x + 3
therefore y = 3x^2 - 6x + 3.
0
2 years ago
#4
(Original post by Soul Wavel3ngth)
So function machines aren't needed? Because it says "Function 1 followed by function 2". But your method seems reasonable so I guess i'll try that.
you could use function machines I suppose though I see no reason to do so
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