SOLUTION: Hello can you help me with this please. State the domain of the following with and explantion to your answer:? a) f(x)=squareroot x+4 ----------- --- b) g(x)=2x+1\x-3 --------

Algebra ->  Human-and-algebraic-language -> SOLUTION: Hello can you help me with this please. State the domain of the following with and explantion to your answer:? a) f(x)=squareroot x+4 ----------- --- b) g(x)=2x+1\x-3 --------      Log On


   

Question 123132: Hello can you help me with this please.
State the domain of the following with and explantion to your answer:?
a) f(x)=squareroot x+4
---------------
b) g(x)=2x+1\x-3
---------------
c) h(x)=3x^2+5x-3
-----------------
d) l(x)=2x+3
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e) m(x)=3\x^2+7
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
quantity under a square root cannot be negative. So x+%3E+4
Domain:+x+%3E+4


f%28x%29=sqrt%28+x%2B4%29
quantity under a square root cannot be negative; so x+%3E+-4
then domain is: x+%3E+-+4
b)
g%28x%29=2x%2B1%2F%28x-3%29
A denominator+cannot be zero. So x does not equal 3.
then domain is: x+%3E+3

c)
h%28x%29=3x%5E2%2B5x-3………… this is a parabola
domain is: all real numbers

d)
l%28x%29=2x%2B3…………………… this is a linear line
domain is: all real numbers
e)
+m%28x%29=3%2F%28x%5E2%2B7%29
A denominator+cannot be zero; so +x%5E2%2B7%3C+%3E0
or x%5E2%3C+%3E-7
or x%3C+%3E+sqrt%28-7%29
then domain is: x+%3E+-+7