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Sets, Relations and Functions

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Question : 22 of 65

Marks: +1, -0

If

f(x)=2 x+3

f(2 x)-2 f(x)+3

is equal to

1
0
-1
None

Solution:

Concept:

Substitute and simplify the given expression using the definition of

f(x)

.

Explanation:

Given

f(x)=2x+3

.

Compute

f(2x)

:

f(2x)=2(2x)+3=4x+3

.

Compute

2f(x)

:

2f(x)=2(2x+3)=4x+6

.

Now evaluate

f(2x)-2f(x)+3

:

(4x+3)-(4x+6)+3 = 4x+3-4x-6+3 = 0

.

Answer:

The expression simplifies to

0

, which corresponds to option B.

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