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

Byju's Answer

Standard XII

Mathematics

Composite Function

The graphs of...

Question

The graphs of the functions $f$ and $g$ in the interval from $x = - 2$ to $x = 2$ are shown above. Which of the following could express $g$ in terms of $f$ ?

g (x) = f (x + 1)

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

g (x) = f (x) + 1

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

g (x) = f (x + 1) + 1

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

g (x) = f (x - 1)

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

g (x) = f (x) - 1

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

Open in App

Solution

The correct option is B $g (x) = f (x) + 1$

Suggest Corrections

Similar questions

Q. Which of the following functions are not identical?

f (x) = x / x, g (x) = 1

f (x) = 1, g (x) = {sin}^{2} x + {cos}^{2} x

f (x) = x, g (x) = {(\sqrt{x})}^{2}

f (x) = log (x - 2) + log (x - 3), g (x) = log (x - 2) (x - 3)

Q. Find fog and gof if
(i)

f (x) = e^{x}, g (x) = \log_{e} x

(ii)

f (x) = x^{2}, g (x) = \cos x

(iii)

f (x) = | x |, g (x) = \sin x

(iv)

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

(v)

f (x) = \sin^{- 1} x, g (x) = x^{2}

(vi)

f (x) = x + 1, g (x) = \sin x

(vii)

f (x) = x + 1, g (x) = 2 x + 3

(viii)

f (x) = c, c \in R, g (x) = \sin x^{2}

(ix)

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

Q. If

f (x), g (x)

are two differentiable functions on

[0, 2]

satisfying

f^{''} (x) = g^{''} (x), f^{'} (1) = 2 g^{'} (1) = 4

and

f (2) = 3 g (2) = 9

, then

Q. If

g (x) = f (x) + f (x - 1)

and

f^{''} (x) < 0, 0 \leq x \leq 1

then find the intervals of monotonicity of g(x).

Find f + g, f - g, $c f (c ϵ R, c \neq 0)$ . fg. $\frac{1}{f}$ and $\frac{f}{g}$ in each of the following :
(i) $f (x) = x^{3} + 1$ and $g (x) = x + 1$
(ii) $f (x) = \sqrt{x - 1}$ and $g (x) = \sqrt{x + 1}$

Join BYJU'S Learning Program

The graphs of the functions f and g in the interval from x=−2 to x=2 are shown above. Which of the following could express g in terms of f?

The correct option is B g(x)=f(x)+1

The graphs of the functions $f$ and $g$ in the interval from $x = - 2$ to $x = 2$ are shown above. Which of the following could express $g$ in terms of $f$ ?

The correct option is B $g (x) = f (x) + 1$