# Math Help - Maths function questions

1. ## Maths function questions

(Q1) given the following information:
x=1,y=3
x=2,y=6
x=3,y=2
x=4,y=7
x=5,y=3
the function g(x) is defined by g(x)=5f(x+2). Calculate g(3), writing your answer as an interger.

(Q2)
if f(x) is equal to:
x=1,y=4
x=2,y=5
x=3,y=3
x=4,y=2
x=5,y=1
and g(x) is equal to:
x=1,y=3
x=2,y=5
x=3,y=1
x=4,y=4
x=5,y=2
Concerning Q1, and assuming the first 5 couples given correspond to the function f, we have: $g(x)=5f(x+2)$, hence $g(3)=5f(3+2) = 5f(5) = 5\times 3 = 15$ because at $x=5, y=3$
Concerning Q2, $f(g(1))=f(3)=3$. Remember that we are given $g(1)=3$ and $f(3)=3$