What is the inverse of f(x)=5csc((x+pi)/(2.1))-6.5 ?

The inverse of f(x)=5csc((x+pi)/(2.1))-6.5 is 2.1arccsc((x+6.5)/5)-pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=5csc((x+pi)/(2.1))-6.5

inverse

f (x) = 5 csc (\frac{x + π}{2.1}) - 6.5

2.1 arccsc (\frac{x + 6.5}{5}) - π

Solution steps

Solve for

csc (\frac{x + π}{2.1}), y = 5 csc (\frac{x + π}{2.1}) - 6.5

csc (\frac{x + π}{2.1}) = \frac{y + 6.5}{5}

csc (a) = b \Rightarrow a = arccsc (b)

\frac{x + π}{2.1} = arccsc (\frac{y + 6.5}{5})

Solve for

x, \frac{x + π}{2.1} = arccsc (\frac{y + 6.5}{5})

2.1 arccsc (\frac{y + 6.5}{5}) - π

Substitute

y = x

2.1 arccsc (\frac{x + 6.5}{5}) - π

f (x) = (\frac{x - 4}{8})^{\frac{1}{7}} + 6

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

r (x) = \frac{x}{2 x - 1}

f (x) = 2 lo g_{4} (1 - x)

What is the inverse of f(x)=5csc((x+pi)/(2.1))-6.5 ?
The inverse of f(x)=5csc((x+pi)/(2.1))-6.5 is 2.1arccsc((x+6.5)/5)-pi