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OpenStudy (angelax0):
The function g is defined by
g(x)=2x^2-4 Find g(5x).
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OpenStudy (welshfella):
replace the x in the expression for g(x) by 5x and simplify.
OpenStudy (angelax0):
2(5x)^2-4 = 100-4?
OpenStudy (welshfella):
the left side of your answer is correct but where as the 'x' gone?
OpenStudy (angelax0):
5x = 2(5x)^2 - 4
OpenStudy (welshfella):
g(5x) = 2(5x)^2 - 4
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OpenStudy (angelax0):
how would you solve this?
OpenStudy (welshfella):
now simplify
OpenStudy (angelax0):
g(5x)=100-4 = g(5x)=96 ?
OpenStudy (welshfella):
No
g)5x) = 2* 25x^2 - 4 = 50x^2 - 4
we are not solving an equation for x
Just simplifying 2(5x)^2 - 4
OpenStudy (angelax0):
So that would be the final answer? g(5x)=2(5x)^2-4 ?
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OpenStudy (welshfella):
no see my last post
50x^2 - 4 is the final answer
OpenStudy (angelax0):
So you wouldnt do the 50x^2? you would just leave it like that?
OpenStudy (mathmale):
You must keep the function name, g(x).
Write out g(x).
Wherever you see 'x,' write '5x' instead.
OpenStudy (mathmale):
Write out g(x).
Next, replace every 'x' in this function with '5x.' Keep the label 'g.' The new function is then g(5x). Write it out.
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