The x-intercept of the graph of f(x) = sqrt(x - 1) - 2 is (5, 0)
THANK U
What is the question?
IS THIS CORRECT... IS THE X INTERCEPT (5,0)?
Yes.
To determine if the given point (5, 0) is an x-intercept of the graph of f(x) = √(x - 1) - 2, we need to substitute x = 5 into the function and check if f(5) equals zero.
So, let's substitute x = 5 into the equation:
f(5) = √(5 - 1) - 2
= √4 - 2
= 2 - 2
= 0
Since f(5) equals 0, this means that the point (5, 0) is indeed an x-intercept of the graph of the function f(x) = √(x - 1) - 2.
To obtain the x-intercept analytically, we set f(x) equal to zero and solve for x:
0 = √(x - 1) - 2
2 = √(x - 1)
4 = x - 1
x = 5
Therefore, the x-intercept of the graph is x = 5, which corresponds to the point (5, 0) on the graph.