Let f-R- -1- be defined as fx-log10-3x2-4x-k-1-10- If fx is surjective- then

The correct option is A k=13 #10;[ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Theorems for Continuity

Let f:R→ [1...

Question

Let $f : R \to [1, \infty)$ be defined as $f (x) = {log}_{10} (\sqrt{3 x^{2} - 4 x + k + 1} + 10)$ . If $f (x)$ is surjective, then

k = \frac{1}{3}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

k < \frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

k > \frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

k = 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

f : R \to R

f (x) = {\begin{matrix} k - 2 x, i f x \leq - 1 2 x + 3, i f x > - 1 \end{matrix}

f

x = - 1

k

f (x)

{(1 + \frac{1}{x})}^{f (x) + x} = e,

{lim}_{x \to \infty} f (x) = \frac{1}{k} .

k

f : R \to A,

f (x) = \frac{x^{2}}{x^{2} + 1}

A \in [k, m)

k + m

f : R \to R

f (x) = {\begin{matrix} k - 2 x, i f x \leq - 1 2 x + 3, i f x > - 1 \end{matrix}

k

g : R \to [0, \frac{π}{3}]

g (x) = {cos}^{- 1} (\frac{x^{2} - k}{1 + x^{2}})

k

g

\frac{1}{a}

a

Join BYJU'S Learning Program