SOLUTION: Consider the function f(x)= 4-x/(divided by) x+5 +. Algebraically determine the domain and all intercepts.

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Question 841947: Consider the function f(x)= 4-x/(divided by) x+5 +. Algebraically determine the domain and all intercepts.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Assuming the denominator is x+5, this means that x+5 = 0 ---> x = -5 makes the denominator zero. We CANNOT divide by zero. So x can be any number you want but x cannot be equal to -5

Domain: Set of all real numbers but

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To find the y-intercept, plug in x = 0 and evaluate









The y-intercept is (0, 0.8) or (0, 4/5)

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To find the x-intercept, plug in y = 0 and solve for x











The x-intercept is (4,0)

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