SOLUTION: Given that g(x)= 3x^2-5x+4, find each of the following a) g(0) b) g(-1) c) g(3) d) g(-x) e) g(1-t)

Algebra ->  Trigonometry-basics -> SOLUTION: Given that g(x)= 3x^2-5x+4, find each of the following a) g(0) b) g(-1) c) g(3) d) g(-x) e) g(1-t)       Log On


   

Question 1036447: Given that g(x)= 3x^2-5x+4, find each of the following
a) g(0)
b) g(-1)
c) g(3)
d) g(-x)
e) g(1-t)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

g%28x%29=+3x%5E2-5x%2B4


g%280%29=+3%280%29%5E2-5%280%29%2B4 Replace every copy of 'x' with 0. Now evaluate.


g%280%29=+3%280%29-5%280%29%2B4


g%280%29=+0-0%2B4


g%280%29=+4

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b)

g%28x%29=+3x%5E2-5x%2B4


g%28-1%29=+3%28-1%29%5E2-5%28-1%29%2B4 Replace every copy of 'x' with -1. Now evaluate.


g%28-1%29=+3%281%29-5%28-1%29%2B4


g%28-1%29=+3%2B5%2B4


g%28-1%29=+12

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c)

g%28x%29=+3x%5E2-5x%2B4


g%283%29=+3%283%29%5E2-5%283%29%2B4 Replace every copy of 'x' with 3. Now evaluate.


g%283%29=+3%289%29-5%283%29%2B4


g%283%29=+27-15%2B4


g%283%29=+16

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d)

g%28x%29=+3x%5E2-5x%2B4


g%28-x%29=+3%28-x%29%5E2-5%28-x%29%2B4 Replace every copy of 'x' with '-x'. Then simplify.


g%28-x%29=+3x%5E2%2B5x%2B4


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e)

g%28x%29=+3x%5E2-5x%2B4


g%281-t%29=+3%281-t%29%5E2-5%281-t%29%2B4 Replace every copy of 'x' with '1-t'. Then expand and simplify.


g%281-t%29=+3%281-2t%2Bt%5E2%29-5%281-t%29%2B4


g%281-t%29=+3-6t%2B3t%5E2-5%2B5t%2B4


g%281-t%29=+3t%5E2-t%2B2