find g(x+3) given g(x)=5x-1

Answer 1

g(x) = 5x - 1

Let's take y = x + 3

Now, g(y) = 5y - 1

So, g(x + 3) = 5y - 1
But y = (x + 3)
=> g(x + 3) = 5(x + 3) - 1
= 5x + 15 - 1
= 5x + 14

Answer 2

Given: g(x) = 5x-1.
Find: g(x+3).

In the given Eq, replace x with (x+3):
g(x+3) = 5(x+3) - 1.
g(x+3) = 5x + 14.