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serg [7]
2 years ago
12

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (2 points)

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
7 0

Answer:

we can say that f and g are inverses of each other because f(g(x)) = x and g(f(x)) = x

Step-by-step explanation:

We need to confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

We have

f(x)= \frac{8}{x}\\g(x)=\frac{8}{x}

Now, finding f(g(x))

Put x = 8/x in f(x)

f(g(x)) =\frac{8}{\frac{8}{x} }\\=8\div \frac{8}{x}\\=8 \times   \frac{x}{8}\\=x

So, we get f(g(x))=x

Now, find g(f(x))

Put x = 8/x in g(x)

g(f(x)) =\frac{8}{\frac{8}{x} }\\=8\div \frac{8}{x}\\=8 \times   \frac{x}{8}\\=x

So, we get g(f(x)) = x

Therefore we can say that f and g are inverses of each other because f(g(x)) = x and g(f(x)) = x

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