Find the function h(x) = f(x).g(x) if f(x) = x(2 - x) and g(x) = 3x.

Solution:

Given, the function are

f(x) = x(2 - x)

On rewriting, f(x) = 2x - x²

g(x) = 3x

We have to find h(x) = f(x).g(x)

h(x) = (2x - x²)(3x)

= 6x² - 3x³

Therefore, the value of h(x) is 6x² - 3x³.

Example: Find the function h(x) = f(x).g(x) if f(x) = (3 - x) and g(x) = x.

Solution:

Given, the function are

f(x) = (3 - x)

g(x) = x

We have to find h(x) = f(x).g(x)

h(x) = (3 - x)(x)

= 3x - x²

Therefore, the value of h(x) is 3x - x².

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Find the function h(x) = f(x).g(x) if f(x) = x(2 - x) and g(x) = 3x.

Summary:

If f(x) = x(2 - x) and g(x) = 3x. The value of the function h(x) = f(x).g(x) is 6x² - 3x³.