(a) Find f(x) for the indicated values of x, if possible.
(b) Find the domain of f.

f(x) = 1/(x^2 + 4) for x = -2, a + 4

Question

(a) Find f(x) for the indicated values of x, if possible.
(b) Find the domain of f.

f(x) = 1/(x^2 + 4) for x = -2, a + 4

anonymous · Answer

$$f(x) = \frac{1}{x ^{2}+4} for\ x = -2, a + 4$$

anonymous · Answer

At, x=-2

f(-2)=1/((-2)^2+4)
       =1/(4+4)
       =1/8

f(a+4)=1/((a+4)^2+4)
         =1/(a^2+8a+16+4)
         =1/(a^2+8a+20)
         

As, for the domain, when we take alook a the denominator of the function we see an x^2 term, what this indicates is that we can plug in any x value and get out a valid y value. Meaning that the domain of this function is all real numbers .