MyQuestionIcon

1

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

General Tips for Choosing Function

Find the set ...

Question

Find the set of values of x for which the functions $f (x) = 3 x^{2} - 1$ and $g (x) = 3 + x$ are equal.

Open in App

Solution

$∵ f (x) = g (x) \Rightarrow 3 x^{2} - 1 = 3 + x \Rightarrow 3 x^{2} - x - 4 = 0 \Rightarrow 3 x^{2} - 4 x + 3 x - 4 = 0 \Rightarrow x (3 x - 4) + 1 (3 x - 4) = 0 \Rightarrow (3 x - 4) (x + 1) = 0 ∴ x = - 1, \frac{4}{3}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The domain for which the functions f(x) = 3x² −1 and g(x) = 3 + x are equal is __________ .

Q. Let the functions f and g be defined by

f (x) = (x - 3)

g (x) = \int_{k, w h e n x = - 3}^{\frac{x^{2} - 9}{x + 3}, w h e n x \neq - 3}

find the value of k such that f(x) = g(x) for all

x \in R

f (x)

g (x)

are two continuous functions defined for

0 \leq x \leq 1

f (x) = \int_{0}^{1} e^{x + 1} . f (t) d t

g (x) = \int_{0}^{1} e^{x + t} . g (t) d t + x

f (1)

Q. Find the domain for which the function

f (x) = 3 x^{2} - 2 x

g (x) = 9 x - 6

Q. The set of all

x

for which the functions are not defined

f (x) = {log}_{[(x - 2) / (x + 3)]} 2

g (x) = \frac{1}{\sqrt{x^{2} - 9}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

General Tips for Choosing Functions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

General Tips for Choosing Function

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon