What is the range of 1-2sqrt(x-3) ?

The range of 1-2sqrt(x-3) is f(x)<= 1

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range of 1-2sqrt(x-3)

range

1 - 2 x - 3

f (x) \leq 1

Interval Notation

(- \infty, 1]

Solution steps

The range of an radical function of the form

- c a x + b + k

f (x) \leq k

k = 1

f (x) \leq 1

f (x) = 9 - x^{2}

f (x) = 3 x^{4} + 8 x^{3} + 4

f (x) = \frac{5}{( x - 4 ) ^{3}}

f (x) = x^{2} - 9 x

f (x) = \frac{x - 3}{x + 3}