Q.

Statement-1: f : R → R is a function defined by f(x) = 5x + 3. If g = f-1, then g(x) = x - 3 5. Statement-2: If f : A→ B is a bijection and g : B → A is the inverse of f, then fog is the identity function on A.

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

b

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

c

STATEMENT-1 is True, STATEMENT-2 is False

d

STATEMENT-1 is False, STATEMENT-2 is True

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let y=5x+3⇒x=y−35→ g(x) = x - 35 is the inverse of f, so statement-1 is TrueStatement-2 is false because g : B → A and f : A → B ⇒ fog : B→ B and g = f-1 ⇒fog is an identity function on B.
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon
Statement-1: f : R → R is a function defined by f(x) = 5x + 3. If g = f-1, then g(x) = x - 3 5. Statement-2: If f : A→ B is a bijection and g : B → A is the inverse of f, then fog is the identity function on A.