# math

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If f(x)=x-7 and g(x)=sqrt(4-x), what is the domain of the function f/g?

a. (-infinity, 4)
b. (-infinity, 4]
c. (4, infinity)
d. [4, infinity)
e. (4, 7) U (7, infinity)

• math -

(x-7)/sqrt(4-x)

If x >4 , the result is imaginary because the denominator is the square root of a negative number so we know x<4 but we also know that the result is undefined for x = 4
so
x < 4 or from -00 to 4 not including 4

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