State the domain and range of the function: g(x) = 1 - √x?

Answer 1

Domain is the set of all possible values of x. In this case, you cannot take a square root of a negative number so x must be >= 0.
Domain D = {x | x >= 0}
The range is the possible values of the function g(x).
Since sqrt(x) is always positive, the value 1 - sqrt(x) must always be less than or equal to 1.
Range R = {g(x) | g(x) <= 1}

Answer 2

State the area and variety of right here function f(x)= x+a million/(x^2-a million) The area in this function is ruled by making use of the denominator as you are able to not divide by making use of 0 The denominator ? 0 (x^2 - a million) ? 0 Factorise (x +a million)(x - a million) ? 0 x ?-a million and x ? a million area: x ?-a million and x ? a million OR all x different than x = -a million and x =a million with x = -a million and x =a million as vertical asymptotes.( An asymptote is a line to which a curve methods yet in no way touches or crosses) variety: Draw an excellent determination airplane. entice the two vertical asymptotes x = -a million and x =a million. word the graph would be broken into 3 areas using fact of those 2 vertical asymptotes. Draw each and every of right here for x < -a million, the graph is a branch of a hyperbola in the 2d quadrant with the unfavorable x axis and x = -a million as asymptotes in this section variety: 0 < y < +infinity for -a million < x < a million, the graph is symmetrical concerning the unfavorable y axis and is almost a concave down parabola with a vertex at (0, -a million) in this section variety: -a million ? y < -infinity, for x >a million, the graph is a branch of a hyperbola in the 1st quadrant with the valuable x axis and x =a million as asymptotes in this section variety: 0 < y < +infinity universal variety: 0 < y < +infinity and -a million ? y < -infinity i desire this helps

Answer 3

x>=o,g(x)<=1

Answer 4

Is it 1 minus the square root of x? If so, the domain is {all numbers >=0} because you can't do the square root of a negative number. The range is {all numbers >= 1} because the square root can't come out negative, either.

Answer 5

Range: 1 to -Inf
Domain: 0 to + Inf