Question

If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).

Answer 1

g(x)=f(x)=12x

Explanation:

Since f(x)=g(x) at two points x=−3,−1 , we can tell that g(x) passes through the two points (−3,-32),(−1,−12)

But if g (x)is linear, that means that its graph is a straight line.

And since there is only one way to draw a straight line through two points, there is only one answer for g(x) , and since f(x) is a straight line passing through those two points as well, g(x) has to be equal to f(x)