Home
Class 12
MATHS
If f(x^(2) - 4x + 4) = x^(2) + 1. Find f...

If `f(x^(2) - 4x + 4) = x^(2) + 1`. Find f(1) if `f(1) lt 8`.

A

2

B

4

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
Given `f(x^(2) - 4x + 4) = x^(2) + 1`
To find f(1) we put `x^(2) - 4x + 4 = 1, x^(2) - 4x + 3 = 0, x = 1, 3`
For x = 1, f(1) = 2
x = 3, f(1) = 10
`because f(1) lt 8`
`:. f(1) = 2`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Try Yourself|70 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate If f' (x) = 4x ^(3) - 3x ^(2) + 2x + k, f (0) = 1 and f (1) = 4 find f (x)

If f (x)=4x -x ^(2), then f (a+1) -f (a-1) =

If f(x) {:(=-x^(2)", if " x le 0 ), (= 5x - 4 ", if " 0 lt x le 1 ),(= 4x^(2)-3x", if " 1 lt x le 2 ):} then f is

If f(x)=4x-x^2 then find f(a+1)-f(a-1)

If f(x)=(7)/(4)x^(2), then find f'((1)/(7))