Please Help. Need for Class in 45min.?
Find the domain of each rational function:
g(x)=4-3x/2
v(t)= -5t+r^2/3t
g(x)=-2/2x+5
h(x)=5-3x/2x^2-14x+20
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The first one has a domain (-infinity, infinity) because it is defined along the x axis for all x, that is there is not value of x that will make the denominator equal to zero.
second one:
domain is (-inf,0)U(0,inf) because when t=0 the functionis undefined(you can’t divide by zero)
third:
domain is (-inf,-5/2)U(-5/2,inf)
you just need to find the value of x that will make the denominator equal to zero, and make sure to use parenthesis and not brackets to show that -5/2 is not included in the domain(once again, if x=-5/2 the denom would be equal to zero and the function is undefined when the denom=0, so the domain does not include -5/2).
last one:
factor the denominator:
2(x^2-7*x+10) = 2*(x-2)*(x-5)
the two values of x that make the denom=0 here are x=2 and x=5 so the domain is
(-inf,2)U(2,5)U(5,inf)