What is the f(x)=arcsin(4x+1) ?

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f(x)=arcsin(4x+1)

f (x) = arcsin (4 x + 1)

Domain : - \frac{1}{2} \leq x \leq 0

Range : - \frac{π}{2} \leq f (x) \leq \frac{π}{2}

X Intercepts : (- \frac{1}{4}, 0), Y Intercepts : (0, \frac{π}{2})

Asymptotes : None

Interval Notation

Domain : [- \frac{1}{2}, 0]

Range : [- \frac{π}{2}, \frac{π}{2}]

Solution steps

Domain of

arcsin (4 x + 1) : - \frac{1}{2} \leq x \leq 0

Range of

arcsin (4 x + 1) : - \frac{π}{2} \leq f (x) \leq \frac{π}{2}

Axis interception points of

arcsin (4 x + 1) :

X Intercepts

: (- \frac{1}{4}, 0),

Y Intercepts

: (0, \frac{π}{2})

Asymptotes of

arcsin (4 x + 1) :

None

\frac{d}{d x} (7 ln (2 x))

y = (\frac{( x - 3 )}{( x + 1 )})^{2}, at x = 0

\frac{x}{x + 1}

y^{^{''}} + 10 y = 0, y (0) = 2, y^{^{'}} (0) = 1

\int sin (4 x + π) d x