By evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.
It is required to find the solution.
What is function?
A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
The function f(x)= x^2 + 2x + 8
According to given question we have,
By put the value of x=6 in the function f(x) we get,
Evaluating the function f(6):
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
By put the value of x=x+4 in the function f(x) we get,
Evaluating the function f(x+4):
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
By put the value of x=-x in the function f(x) we get,
Evaluating the function f(-x):
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
Therefore, by evaluating all the given values of the independent variable at x is equal to 6,x+4 and -x.