Answer: g(x) = 2(x + 3) + 1
Step-by-step explanation:
When we have an horizontal translation of A units (A is a positive real number) to the right, we write this as:
g(x) = f(x - A)
If the translation is to the left, then we have:
g(x) = f(x + A).
In this case, we have a translation to the left, and A = 3, then:
g(x) = f(x + 3)
And we know that:
f(x) = 2x + 1
g(x) = f(x + 3) = 2*(x + 3) + 1 = 2x + 6 + 1 = 2x + 7
g(x) = 2x + 7
