What is the range of-2-tan(x+pi/4) ?

The range of-2-tan(x+pi/4) is -infinity <f(x)<infinity

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range of-2-tan(x+pi/4)

range

- 2 - tan (x + \frac{π}{4})

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The range of the basic

tan

function is

- \infty < tan (x + \frac{π}{4}) < \infty

- \infty < tan (x + \frac{π}{4}) < \infty

Multiply the edges of the range by:

- 1

- \infty < - tan (x + \frac{π}{4}) < \infty

Add to the edges of the range:

- 2

- \infty < - tan (x + \frac{π}{4}) - 2 < \infty

Therefore the range is

- \infty < f (x) < \infty

f (x) = \frac{3 x - 13}{2 x}

f (x) = \frac{3 x + 4}{2 x - 5}

3 (y - 1) = 2 x + 2

f (x) = \frac{x ^{2} - 5 x}{x ^{2} - 9}

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

What is the range of-2-tan(x+pi/4) ?
The range of-2-tan(x+pi/4) is -infinity <f(x)<infinity