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

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## Answers ( )

Answer:(

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

Hello!The answer is:Why?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!