If f(x)=1/2x and g(x) is a linear function, such that x=−3 and x=−1 when f(x)=g(x). Write a possible function for g(x)?
1 Answer
This is the only answer for
Explanation:
Intuition
Since
But if
And since there is only one way to draw a straight line through two points, there is only one answer for
graph{(y-1/2x)=0 [-5, 2, -5, 2]}
More Rigorous Proof
Since
Substituting
Substituting
If you solve these two simultaneous equations, you get
Hence