Question

Consider functions f and g.

Answer 1

A function assigns the values. The sum of the two function will be equal to 3[√(x-3) + 5].

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=√(x-3) and g(x)=[√(4x-12)]+15, therefore, the sum of the two function will be written as,

$(f+g)(x)= \sqrt{x-3} + \sqrt{4x-12}+15$

                 $= \sqrt{x-3} + \sqrt{4(x-3)}+3(5)\\\\ = \sqrt{x-3} + 2\sqrt{(x-3)}+3(5)\\\\= 3\sqrt{(x-3)}+3(5)\\\\ = 3[\sqrt{(x-3)}+5]$

Hence, the sum of the two function will be equal to 3[√(x-3) + 5].

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