Respuesta :

In order to solve this, we must first evaluate g(-1). If we plug -1 into the equation for g(x), we get g(-1) = 1. Next, we can plug that into f(x) and get our answer. By evaluating f(1), we get f(1) = -6. Therefore, our answer is f(g(-1)) = -6.

Hope this helps!

Here, we are required to find f(g(-1))

Given:

f(x) = x-7 and g(x) = x².

  • First we need to plug in -1 for x in g(x).

Therefore, g(-1)

= (-1)²

= 1

  • Moving on, we can then plug in 1 as the value of x into f(x).

And consequently, we have f(1)

= 1 - 7

= -6.

Therefore, the value of f(g(-1)) given:

f(x) = x-7 and g(x)

= x² is f(g(-1))

= -6.

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