Let f(x) = ax + b and g(x) = cx + J. where a, b, c. and d

Chapter 1, Problem 38E

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QUESTION:

Let f(x) = ax + b and g(x) = cx + J. where a, b, c. and d arc constants. Determine necessary and sufficient conditions on the constants a, b, c, and d so that f o g = g o f.

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QUESTION:

Let f(x) = ax + b and g(x) = cx + J. where a, b, c. and d arc constants. Determine necessary and sufficient conditions on the constants a, b, c, and d so that f o g = g o f.

ANSWER:

Solution:Step 1:Here, f(x) = ax + b and g(x) = cx + J. where a, b, c. and j arc constants, we have to determine necessary and sufficient conditions for fog=gof.

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