CameraIcon

SearchIcon

MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Properties of Inverse Function

If the functi...

Question

If the function $f : R \to R$ is defined by $f (x) = x^{2} + 5 x + 9,$ find $f^{- 1} (8) .$

Open in App

Solution

$x^{2} + 5 x + 9 = 8 x^{2} + 5 x + 1 = 0 x = (\frac{- 5 \pm \sqrt{25 - 4}}{2}) a s t h e r e a r e t w o d i f f e r e n t v a l u e s o f x, i t s u g g e s t s f o r g i v e n f (x), f^{- 1} x d o e s n^{'} t e x i s t i n t h e g i v e n s e t o f d o m a i n$
Hence no solution

Suggest Corrections

thumbs-up

0

Similar questions

f : R \to R

f (x) = x^{2} + 5 x + 9

f^{- 1} (8)

Q. If the function

f : R \to R

f (x) = (x^{2} + 1)^{35} \forall \in R

f

f : R \to R

be a function defined by

f (x) = \frac{x^{2}}{x^{2} + 1}, \forall x \in R

f^{- 1}

Q. If f : R → R is defined by f(x) = x², find f⁻¹ (−25).

Q. If f : R → R is defined by f(x) = 8x³ then, f^–1(8) = _________.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Inverse of a Function

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Properties of Inverse Function

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon