Question 251426
True or False.
1)To add two functions you simply add the corresponding y-coordinates to get the combined value.
True
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2)When two functions are divided, the domain of the combined functions consists of all of the values in the domains of the original function.
False
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3)If f(x) is a function that is defined for all xER, then f(f^inverse(x)) = x
True
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4)To solve the inequality f(x) > g(x), a student could graph the combined function y=f(x)-g(x) and identify the portions of the graph that are below the x-axis.
False
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5) When two functions are added,the domain of the combined functions consists of all of the values common to the domain of both of the original functions.
True
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6) Determine the domain and range of the function y = sqrt(x^2+10x+24)
To find the domain solve x^2+10x+24 >= 0
(x+6)(x+4) >= 0
True for (-inf,-6]U[-4,+inf)
That is the domain.
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Cheers,
Stan H.