math help solve algebra function

label Algebra
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find the domain of f(x)=sqrt x;g(x)=5x-6

Jun 2nd, 2015

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Jun 2nd, 2015

For domain of f(x):

Start with the given expression f(x) = sqrt x
Remember you cannot take the square root of a negative value. So that means the argument (x) must be greater than or equal to zero (i.e. the argument must be positive) 
x>=0 Set the inner expression greater than or equal to zero ,
So here is the domain in interval notation: [0,)
So here is the domain in interval notation: [6/5,)

So that means x must be greater than or equal to '0' 

For domain of g(x):

g(x)= 5x-6

Now 5x-6 should be greater or equal to 0

So, 5x-6 >= 0

5x >= 6

x >= 6/5

So that means x must be greater than or equal to 6/5 



Jun 2nd, 2015

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Jun 2nd, 2015
Jun 23rd, 2017
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