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Popular >

f(x)=sin(1/((x-1)))

Solution

f (x) = sin (\frac{1}{( x - 1 )})

Solution

Domain : x < 1 or x > 1

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

Asymptotes : Horizontal y = 0

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \infty)

Solution steps

Domain of

sin (\frac{1}{x - 1}) : x < 1 or x > 1

Axis interception points of

sin (\frac{1}{x - 1}) :

X Intercepts

: (\frac{1}{2 πn} + 1, 0), (\frac{1}{π + 2 πn} + 1, 0),

Y Intercepts

: (0, sin (- 1))

Asymptotes of

sin (\frac{1}{x - 1}) :

Horizontal

: y = 0

Popular Examples

y=(x^2-3x+4)^{5/2}

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

f(n)=5n^2-165n+1008

f (n) = 5 n^{2} - 165 n + 1008

f(x)=sqrt(((3-|x|))/((|x|-7)))

f (x) = \frac{( 3 - ∣ x ∣ )}{( ∣ x ∣ - 7 )}

y=(tan(x)+3)/(cos(x))

y = \frac{tan ( x ) + 3}{cos ( x )}

f(x)=(((25)^x-1))/((5^x-1))

f (x) = \frac{( ( 25 ) ^{x} - 1 )}{( 5 ^{x} - 1 )}

Frequently Asked Questions (FAQ)

What is the f(x)=sin(1/((x-1))) ?
The f(x)=sin(1/((x-1))) is