Choose the correct domain fx Squareroot 10 2x fx 3x2 2x

Choose the correct domain. f(x) = Squareroot 10 - 2x f(x) = 3/x^2 - 2x - 48 f(x) = Squareroot x - 5/2x^2 - 17x^4 + 21 Given f(x) = 3x^2 - 2x + 5. g(x) - 2x - 3. find (f g) (3) = 26 49 6 9

Solution

2) f(x) = sqrt ( 10 - 2x)

setting the expression inside parenthses > = 0

10 - 2x > = 0

10 > = 2x

x < = 5

domain is all values of x <= 5

f(x) = 3 / ( x^2 - 2x - 48 )

f(x) = 3 / ( x+6)(x-8)

domain is all values of x except x = -6 and 8

f(x) = sqrt (x-5) / ( 2x^2 - 17x + 21 )

= sqrt (x-5) / (2x-3)(x-7)

domain is [ 5,7 ) U ( 7 , infinity )