3 years ago

Are f and g inverses of each other? Support your response algebraically

Mathematics

1 answer:

NeTakaya3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - $\frac{1}{2}$ ) = x - $\frac{1}{2}$ + $\frac{1}{2}$ = x

g(f(x)) = g(x + $\frac{1}{2}$ ) = x + $\frac{1}{2}$ - $\frac{1}{2}$ = x

Hence f(x) and g(x) are the inverse of each other

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