The values of the function is
a. (f+g)(x) = 2x+ 3x²
b. (f-g)(x) = 2x - 3x²
c. (f.g)(x) = 6x³
d. (f/g)(x) = 2/(3x)
a. (f+g)(x) = x( 2+ 3x)
What is function?
In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x)= 2x and g(x)= 3x²
a) (f+g)(x)
= f(x)+ g(x)
= 2x+ 3x²
b) (f-g)(x)
=f(x)- g(x)
= 2x - 3x²
=x( 2 - 3x)
c) (f.g)(x)
= f(x). g(x)
= 2x . 3x²
= 6x³
d) . (f/g)(x)
f(x)/ g(x)
= 2x/ 3x²
= 2/(3x)
e) (f+g)(x)
= f(x)+ g(x)
= 2x+ 3x²
=x( 2+ 3x)
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