Question

If f (x) = x square - 4x + 6 find f (1) - f (-1)

Answer 1

Answer:

GIVEN:

F(X)= X^2 -4X+6.

TO FIND:

F(1)-F(-1).

SOLUTION:

FIRST VALUE OF F(1):

1^2-4+6=1-4+6=1+2=3 .

NOW VALUE OF F(-1):

-1^2-(4×-1)+6

=1+4+6=11

NOW VALUE F(1)-F(-1):

=3-11=-8.( ANSWER).

Answer 2

Given :

f (x) = x² - 4x + 6

To find :

f (1) - f (-1)

Solution :

⟶To find f (1) - f (-1) first we have to find the value of f (1) and f (-1).

⟶To find f (1) , we will put x = 1 in the given expression f (x) = x² - 4x + 6 :-

⟹f (1) = (1)² -( 4×1)+ 6

⟹f (1) = 1 -4+ 6

⟹f (1) = 7-4

⟹f (1) = 3

⟶To find f (-1) , we will put x = -1 in the given expression f (x) = x² - 4x + 6 :-

⟹f (-1) = (-1)² -( 4×-1)+ 6

⟹f (-1) = 1 +4+ 6

⟹f (-1) = 11

⟹ f (1) - f (-1) = 3-11

⟹ f (1) - f (-1) = -8

Answer : -8

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$\large\bf\blue{Additional-Information}$

Function : A relation f from set A to a set B is said to be a function if every element of set A has one amd only one image in set B.

Types of Functions :-

• Injective function
• Surjective functions
• Polynomial function
• Inverse Functions

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