Below are the equivalent sum, difference, product and quotient of the functions.
A) x^2 + 3x + 5
B) x^2 + 3x + 5
C) 3x^3 + 15x
D) x^2+5/3
What are composite functions?
Function composition is a mathematical procedure where two functions, f and g, are taken and a function, h = (gof), is produced such that h(x) = g(f(x)).
Given the following functions
g(x)=3x and;
f(x)=x^2+5
Determine the following operations
A) f(x) + g(x) = f(x) + g(x);
f(x) + g(x) = x^2+5 + 3x
f(x) + g(x) = x^2+3x+5
b) (f - g)(x) = f (x) - g(x)
(f - g)(x) = (x^2+5) - 3x
(f-g)(x) = x^2 - 3x + 5
c) (f * g)(x) = f(x) * g(x)
(f * g)(x) = 3x(x2+5) and;
(f * g)(x) = 3x^3+15x
d) f(x)/g(x)
(f/g)(x) = x^2+5/3x
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