Question 407306
    f(x)=2squareroot(x-1)+3 graph and state the domain and range

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One restriction here is inside the sqrt which must be >=0
x-1>=0
x>=1
Domain:[1,infinity)
Range:[3,infinity)
The given function has shifted the basic sqrt curve 1 unit left and 3 unit up. The 2 in front has made the curve a bit steeper (increase in slope)
See the graph of f(x) below:
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y=2(x-1)^.5+3

{{{ graph( 300, 200, -6, 5, -10, 10, 2(x-1)^.5+3) }}}