Find the value of gf2- if fx - ex and gx - x2

The correct option is B 3.7 Given, f(x)=e^x, g(x)=x2 ⇒ f(2) = #160; e ^ 2 =7.389 ⇒ g(f(2)) = g(7.389) = 7.3892 = 3.7 ...

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

Byju's Answer

Standard XII

Mathematics

Composite Function

Find the valu...

Question

Find the value of $g (f (2))$ , if $f (x) = e^{x}$ and $g (x) = \frac{x}{2}$

2.7

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

3.7

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

4.2

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

5.4

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

6.1

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

Open in App

Solution

The correct option is B $3.7$
Given, $f (x) = e^{x}, g (x) = \frac{x}{2}$
$\Rightarrow f (2) = e^{2} = 7.389$
$\Rightarrow g (f (2)) = g (7.389) = \frac{7.389}{2} = 3.7$

Suggest Corrections

Similar questions

Q. Functions

f

and

g

are defined by

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

and

g (x) = \sqrt{(x + 6)}

. What is the value of

g (f (2))

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 an antiderivative of f(x) is

e^{x}

and that of

g (x)

is cos x, then

\int f (x)

cos x dx +

\int g (x)

e^{x}

dx is equal to

Q. Let

f (x)

and

g (x)

are two function of

x

such that

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

and

f (x) - g (x) = e^{- x}

then

Q. If the function

f (x) = x^{3} + e^{x / 2}

and

g (x) = f^{- 1} (x)

; then the value of g'(1) is

Join BYJU'S Learning Program

Find the value of g(f(2)), if f(x)=ex and g(x)=x2

The correct option is B 3.7Given, f(x)=ex,g(x)=x2⇒f(2)=e2=7.389⇒g(f(2))=g(7.389)=7.3892=3.7

Find the value of $g (f (2))$ , if $f (x) = e^{x}$ and $g (x) = \frac{x}{2}$

The correct option is B $3.7$
Given, $f (x) = e^{x}, g (x) = \frac{x}{2}$
$\Rightarrow f (2) = e^{2} = 7.389$
$\Rightarrow g (f (2)) = g (7.389) = \frac{7.389}{2} = 3.7$