If f(x) = 2x - 1 and g(x) = x^2 - 2, find [g · f](x)
show me how to do this

(x² -7)/(2x + 1)

Step-by-step explanation:

f(x) = 2x+1 and g(x) = x² -7

thus: (g/f)(x) = g(x)/f(x) = x² -7/2x + 1

The answer is:

To solve the problem, we need to remember that composing functions means evaluate a function into another different function.

Also, we need to remember how to solve the following notable product:

We have that:

Now, we are given the equations:

So, composing we have:

Now, we have to solve the notable product:

Hence, we have that:

Have a nice day!

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0