evealuate the given function for the x value.
f(x)= x2+1/4x+2,g(x)=x3+1/2x2+x
find (f+g)a
What is the a supposed to denote?
Im not for sure what You mean
To evaluate the sum of functions f(x) and g(x) at a given value a, you need to compute (a).
Given functions:
f(x) = x^2 + (1/4)x + 2
g(x) = x^3 + (1/2)x^2 + x
To find (f+g)(a), we'll first substitute a for x in both functions and calculate the values separately.
1. Find f(a):
Replace x with a in f(x):
f(a) = a^2 + (1/4)a + 2
2. Find g(a):
Replace x with a in g(x):
g(a) = a^3 + (1/2)a^2 + a
Now, we can find (f+g)(a) by adding the results from steps 1 and 2:
(f+g)(a) = (a)
= (a^2 + (1/4)a + 2) + (a^3 + (1/2)a^2 + a)
Simplifying the expression further depends on whether you want to expand the terms or leave it as is. If you want to expand it, you can simplify the equation:
(f+g)(a) = a^3 + a^2 + (1/2)a^2 + (1/4)a + a + 2
= a^3 + (5/4)a^2 + (9/4)a + 2
Thus, (f+g)(a) = a^3 + (5/4)a^2 + (9/4)a + 2.