Let f(x) = 8x3 and g(x) = x1/3. Find g o f and f o g. – InterviewSolution

InterviewSolution

1.

Let f(x) = 8x3 and g(x) = x1/3. Find g o f and f o g.

Answer»

To find: g o f and f o g

Formula used: (i) f o g = f(g(x))

(ii) g o f = g(f(x))

Given: (i) f(x) = 8x³

(ii) g(x) = x^1/3

We have,

g o f = g(f(x)) = g(8x³)

g o f = \((8x^3)^{1/3}\) = 2x

f o g = f(g(x)) = f(x^1/3)

f o g = \(8(x^{1/3})^3\) = 8x

g o f = 2x and f o g = 8x

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