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It is given that g(x)=ax^2+bx+4,g(1)=1 and g(2)=2

a.find the values of a and b

a+b+4=1  -1
4a+2b+4=2   -2

let 1x2
2a+2b+8=2

let 2-1

4a+2b+4=2
2a+2b+8=2

2a-4=0
2a=4
a=2

4+2b+8=2
2b=-10
b=-5

b Is it true that g(3)=3?Explain your answer

g(x)=2x^2+(-5)x+4

g(3)=18-15+4

=7

so g(3) is not equal to3

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