English

If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = ______. - Mathematics and Statistics

Advertisements
Advertisements

Question

If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = ______.

Options

  • 0

  • – 3

  • `-1/3`

  • `1/2`

MCQ
Fill in the Blanks

Solution

If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = `bb(1/2)`.

shaalaa.com
  Is there an error in this question or solution?
2021-2022 (March) Set 1

RELATED QUESTIONS

If `tan^-1((x-1)/(x-2))+cot^-1((x+2)/(x+1))=pi/4; `


Show that `2sin^-1(3/5) = tan^-1(24/7)`


Find the principal value of  `cos^(-1) (sqrt3/2)`


Find the principal value of `cosec^(-1)(-sqrt2)`


Find the value of the following:

`tan^(-1)(1) + cos^(-1) (-1/2) + sin^(-1) (-1/2)`


Find the value of the following:

`cos^(-1) (1/2) + 2 sin^(-1)(1/2)`


`sin^-1  1/2-2sin^-1  1/sqrt2`


Find the domain of the following function:

`f(x)=sin^-1x^2`

 


Find the domain of the following function:

`f(x)sin^-1sqrt(x^2-1)`


Find the domain of the following function:

`f(x)=sin^-1x+sin^-1 2x`


Evaluate the following:

`tan^-1(-1/sqrt3)+tan^-1(-sqrt3)+tan^-1(sin(-pi/2))`


Evaluate the following:

`cot^-1{2cos(sin^-1  sqrt3/2)}`


Evaluate the following:

`\text(cosec)^-1(-2/sqrt3)+2cot^-1(-1)`


Evaluate the following:

`tan^-1(-1/sqrt3)+cot^-1(1/sqrt3)+tan^-1(sin(-pi/2))`


Prove that:
cot−1 7 + cot​−1 8 + cot​−1 18 = cot​−1 3 .


In ΔABC, if a = 18, b = 24, c = 30 then find the values of sin `(A/2)`.


In ΔABC, if a = 18, b = 24, c = 30 then find the values of cos `A/2`


In ΔABC, if a = 18, b = 24, c = 30 then find the values of tan `A/2`


Find the principal value of the following: `sin^-1 (1/2)`


Find the principal value of the following: tan- 1( - √3)


Evaluate the following:

`tan^-1(1) + cos^-1(1/2) + sin^-1(1/2)`


Evaluate the following:

`tan^-1 sqrt(3) - sec^-1 (-2)`


Prove the following: 

`2tan^-1(1/3) = tan^-1(3/4)`


Find the principal solutions of the following equation:

sin 2θ = `− 1/(sqrt2)`


sin−1x − cos−1x = `pi/6`, then x = ______


The principal value of sin−1`(1/2)` is ______


If `sin(sin^-1(1/5) + cos^-1(x))` = 1, then x = ______


Find the principal value of the following:

tan-1 (-1)


Find the principal value of the following:

`sec^-1 (-sqrt2)`


Prove that `tan^-1 (m/n) - tan^-1 ((m - n)/(m + n)) = pi/4`


Express `tan^-1 ((cos x - sin x)/(cos x + sin x))`, 0 < x < π in the simplest form.


Find the principal value of `sin^-1  1/sqrt(2)`


Find the principal value of `cos^-1  sqrt(3)/2`


`sin^-1x + sin^-1  1/x + cos^-1x + cos^-1  1/x` = ______


lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ is ______ 


If `sin^-1  3/5 + cos^-1  12/13 = sin^-1 P`, then P is equal to ______ 


The principal value of `tan^{-1(sqrt3)}` is ______  


The principal value of `sin^-1 (sin  (3pi)/4)` is ______.


If sin `(sin^-1  1/3 + cos^-1 x) = 1`, then the value of x is ______.


`tan[2tan^-1 (1/3) - pi/4]` = ______.


`cos(2sin^-1  3/4+cos^-1  3/4)=` ______.


If `tan^-1x + tan^-1y = (4pi)/5`, then `cot^-1x + cot^-1y` equals ______.


Solve for x `tan^-1((1 - x)/(1 + x)) = 1/2 tan^-1x, x > 0`


The domain of the function y = sin–1 (– x2) is ______.


The domain of y = cos–1(x2 – 4) is ______.


Prove that `tan^-1  1/4 + tan^-1  2/9 = sin^-1  1/sqrt(5)`


All trigonometric functions have inverse over their respective domains.


`"sin"^2 25° +  "sin"^2 65°` is equal to ____________.


If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.


`("cos" 8° -  "sin" 8°)/("cos" 8° +  "sin" 8°)`  is equal to ____________.


If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA "n" in "I"`, then x = ____________.


If `"cos"^-1  "x + sin"^-1  "x" = pi`, then the value of x is ____________.


`"sin"^-1 (1 - "x") - 2  "sin"^-1  "x" = pi/2`


`"cos"^-1 ["cos" (2  "cot"^-1 (sqrt2 - 1))] =` ____________.


3 tan-1 a is equal to ____________.


If `"cot"^-1 (sqrt"cos" alpha) - "tan"^-1 (sqrt "cos" alpha) = "x",` then sinx is equal to ____________.


`"tan"^-1 sqrt3 - "sec"^-1 (-2)` is equal to ____________.


If a = `(2sin theta)/(1 + costheta + sintheta)`, then `(1 + sintheta - costheta)/(1 + sintheta)` is 


Which of the following functions is inverse of itself?


The number of solutions of sin–1x + sin–1(1 – x) = cos–1x is


If `sqrt(2)` sec θ + tan θ = 1, then the general value of θ is


If `(-1)/sqrt(2) ≤ x ≤ 1/sqrt(2)` then `sin^-1 (2xsqrt(1 - x^2))` is equal to


What will be the principal value of `sin^-1(-1/2)`?


Values of tan–1 – sec–1(–2) is equal to


`sin(tan^-1x), |x| < 1` is equal to


`2tan^-1 (cos x) = tan^-1 (2"cosec"  x)`, then 'x' will be equal to


Value of `sin(pi/3 - sin^1 (- 1/2))` is equal to


If f'(x) = x–1, then find f(x)


Let x = sin–1(sin8) + cos–1(cos11) + tan–1(tan7), and x = k(π – 2.4) for an integer k, then the value of k is ______.


If ax + b (sec (tan–1 x)) = c and ay + b (sec.(tan–1 y)) = c, then `(x + y)/(1 - xy)` = ______.


The value of `cos^-1(cos(π/2)) + cos^-1(sin((2π)/2))` is ______.


Derivative of `tan^-1(x/sqrt(1 - x^2))` with respect sin–1(3x – 4x3) is ______.


If cos–1 x > sin–1 x, then ______.


Find the value of `cos(x/2)`, if tan x = `5/12` and x lies in third quadrant.


`sin[π/3 + sin^-1 (1/2)]` is equal to ______.


If sin–1x – cos–1x = `π/6`, then x = ______.


The value of `tan(cos^-1  4/5 + tan^-1  2/3)` is ______.


Solve for x:

5tan–1x + 3cot–1x = 2π


If tan 4θ = `tan(2/θ)`, then the general value of θ is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×