Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points)
f(x) = x2 - 3 and g(x) = square root of quantity three plus x

f(g(x)) = g(f(x))  = x and f and g are the inverses of each other.

Step-by-step explanation:

Here, the given functions are:

To Show:  f (g(x))  = g (f (x))

(1)  f (g(x))

Here, by the composite function:

⇒ f (g(x))  = x

(2) g (f(x))

Here, by the composite function:

⇒ g (f(x))  = x

Hence, f(g(x)) = g(f(x))  = x

⇒ f and g are the inverses of each other.

step-by-step explanation:

what is the figure? attach a picture.

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step-by-step explanation: