Question
Asked Dec 3, 2019
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Check whether fand g are inverses of each other.
х — 2
f(x) = 2x + 2 and g(x)
(f g) (x)
Edit
(g of) (x)
Edit
So, fand g are
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Check whether fand g are inverses of each other. х — 2 f(x) = 2x + 2 and g(x) (f g) (x) Edit (g of) (x) Edit So, fand g are

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Expert Answer

Step 1
The given functions are,
f(x) 2x+2 and
x-2
g(x)=
2
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The given functions are, f(x) 2x+2 and x-2 g(x)= 2

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Step 2
Now compute the composite functions as follows
(fog)(x)=f(g(x))
2
f
2
2
+2
2
Y-
-2
=x-2 +2
= x
(gofx)-g(f(x)
-g (2x+ 2)
(2x+2)-2
2
2x
2
=x
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Now compute the composite functions as follows (fog)(x)=f(g(x)) 2 f 2 2 +2 2 Y- -2 =x-2 +2 = x (gofx)-g(f(x) -g (2x+ 2) (2x+2)-2 2 2x 2 =x

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