Question

Asked Feb 19, 2019

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Consider the functions f(x) = 3x-15 and g(x) = x/3 +5

a. Find f(g(x))

b. Find g(f(x))

c. Determine whether the functions f and g are inverses of each other

Step 1

f(g(x)) can be obtained by replacing x by g(x) in f(x) and g(f(x)) can be obtained by replacing x by f(x) in g(x) as shown on board

Step 2

If f(g(x)) and g(f(x)) are identity functions ,that is, if f(g(x)) =x a...

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