What is the inverse of f(x)=arcsin(6x^5) ?

The inverse of f(x)=arcsin(6x^5) is \sqrt[5]{(sin(x))/6}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=arcsin(6x^5)

inverse

f (x) = arcsin (6 x^{5})

5 \frac{sin ( x )}{6}

Solution steps

arcsin (a) = b \Rightarrow a = sin (b)

6 x^{5} = sin (y)

Solve for

x, 6 x^{5} = sin (y)

5 \frac{sin ( y )}{6}

Substitute

y = x

5 \frac{sin ( x )}{6}

y = 6 + lo g_{10} (x)

f (x) = 14 + 5 x - 5

y = lo g_{5} (4 x)

f (x) = \frac{5 x}{7 x - 8}

f (x) = x^{2} + 8 x + 15

What is the inverse of f(x)=arcsin(6x^5) ?
The inverse of f(x)=arcsin(6x^5) is \sqrt[5]{(sin(x))/6}