1) State the domain of the following:?

Question

a) f(x)=cuberoot (x)-8

b) h(x)=3x^2+5x-3

c) m(x)=5\x^2+9

d) l(x)=5x-4

e) g(x)=7x+4\x+4

Answer 1

a) f(x)=cuberoot (x)-8
Domf = |R

b) h(x)=3x^2+5x-3
Domh = |R

c) m(x)=5\x^2+9
Domm= {x/ x^2 ≠ 0 and |R}
Domm {x/ x ≠ 0 and |R} = [-∞,0) U (0,∞]

d) l(x)=5x-4
Doml =|R

e) g(x)=7x+4\x+4
Domg = {x/ x+4 ≠ 0}
Domg = {x/ x ≠ -4} = [-∞,-4) U (4,∞]

Answer 2

a} all real numbers

b) all real numbers

c) all real numbers

d) all real numbers

e) All real numbers except x = -4

Answer 3

a,b,c,d all real numbers
e) all real except x=-4