exam Maths Puzzle Numerical Ability

find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126

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exam Other Question

Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses.

thanks for all the help! Which equation is the image of y=3^x under the mapping rule (x,y)--(1/2x-1,2y+3)?
a)1/2(y-3)=3^(2x+1)
b)1/2(y-3)=3^1/2(x+1)
c)1/2(y-3)=3^2(x+1)
d)2(y-3)=3^2(x+1)