Given: f(x) = x² and g(x) = 2x + 1, find f[g(x)].

4x² + 4x + 1

Step-by-step explanation:

To obtain f(g(x)), substitute x = g(x) into f(x)

f(g(x)) = f(2x + 1) = (2x + 1)² = 4x² + 4x + 1

For this case we have by definition that:

They tell us that:

So:

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)