Algebra-2

To determine which expression could be the function g(x), we need to check which of the given expressions satisfies the points g(1) = 4 and g(7) = -14.

Let's check each expression:

Option A: g(x) = 7x - 3

When x = 1:

g(1) = 7(1) – 3 = 7 – 3 = 4

It satisfies g(1) = 4.

When x = 7:

g(7) = 7(7) – 3 = 49 – 3 = 46

It does not satisfy g(7) = -14.

Option B: g(x) = -3x + 7

When x = 1:

g(1) = -3(1) + 7 = -3 + 7 = 4

It satisfies g(1) = 4.