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Please Help Me with this Function!?
Consider the function defined by the formula
f(x) = (x2 + 2) / (x + 4).
Find f(x) at x=0. What is the corresponding point on the graph?
For f(x) = 1/2, find all values of x. What is (are) the corresponding point(s) on the graph?
Give the domain of the function f(x).
1 Answer
- samitangLv 41 decade agoFavorite Answer
VA at x+4=0
x=-4
therefore the domain is D= { x E R | x cannot equal -4}
f(0)= (0^2 +2)/(0+4)
=(2)/(4)
=1/2
1/2= (x^2+2)/(x+4)
0=(x^2+2)/(x+4) - 1/2
0= 2 (x^2+2) -(x+4) / 2(x+4)
0= (2x^2 + 4 -x - 4) / (2x+8)
0= (2x^2-x) / (2x+8)
0=x(2x-1)/ (2x+8)
critical nos: 2x+8=0, 2x=-8, x= -4
x= 0, x = 1/2
