The domain of the function f (x) = square root of (x - 2) plus 4 is Domain [2, ∞)
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Find the domain of the relation then draw the graph.
y=2x+4 --> x=2y+4 ==> y=(x-4)/2
y = 4(2x) is an exponential function. Domain: (-∞, ∞) Range: (0, ∞) Horizontal asymptote: x-axis or y = 0 The graph cuts the y-axis at (0, 4)
If you mean: y-2 = 3x+2 then as a straight line equation it is y = 3x+4
The square root operation is not a function because for each value of y there can be 2 values of x - the principal square root and its negative. This can only be rectified by limiting the range of the opearation to the principal or positive square root. Furthermore, it also depends on the domain of the function. If y<4 then the square root is not defined within Real numbers. So, for y ≥ 4, x = +sqrt(y-4) is a function.