littlemissbobble
littlemissbobble littlemissbobble
  • 21-12-2015
  • Mathematics
contestada

Suppose that the functions h and g are defined as follows.

h(x)=x−5

g(x)=(x+2)(x+3)

(a) Find (h/g)(−4).
(b) Find all values that are NOT in the domain of h/g

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Jennay4399
Jennay4399 Jennay4399
  • 24-12-2015
(h/g)(-4)
[tex] \frac{(-4)-5}{(-4+2)(-4+3)} [/tex]
Plug and chug
Should come out to be -4.5
[tex] \frac{x-5}{(x+2)(x+3)} [/tex]
To find the values not in the domain, you must set each quantity in the denominator equal to zero and solve for x.
x+2=0   x+3=0
x≠-2      x≠-3
If x were either of these numbers, the denominator of the fraction would equal zero, which would give an undefined answer.
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