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Quantitative Aptitude

Functions

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Question

Read the information given below and answer the questions that follows:
If f(x) = 2x + 3 and g(x) = $\frac{x - 3}{2}$ , then

fog (x) =

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go f (x)

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Solution

The correct option is B go f (x)
fog (x) = f{g(x)} = $f (\frac{x - 3}{2}) = 2 (\frac{x - 3}{2}) + 3 = x$

gof (x) = g{f(x)} = g (2x + 3) = $\frac{(2 x + 3 - 3)}{2}$ = x

fog (x) = gof (x)

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Similar questions

Q. Read the information given below and answer the questions that follows:
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Select the correct answer using the code given below

On dividing f(x) = x³ - 3x² + x + 2 by a polynomial g(x) the quotient and remainder q(x) and r(x) are (x – 2) and (-2x + 4) respectively, then g(x) is

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then fog (x) equals

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Read the information given below and answer the questions that follows: If f(x) = 2x + 3 and g(x) = x−32, then fog (x) =

The correct option is B go f (x)fog (x) = f{g(x)} = f(x−32)=2(x−32)+3=x gof (x) = g{f(x)} = g (2x + 3) = (2x+3−3)2= x fog (x) = gof (x)

Read the information given below and answer the questions that follows:
If f(x) = 2x + 3 and g(x) = $\frac{x - 3}{2}$ , then

fog (x) =

The correct option is B go f (x)
fog (x) = f{g(x)} = $f (\frac{x - 3}{2}) = 2 (\frac{x - 3}{2}) + 3 = x$

gof (x) = g{f(x)} = g (2x + 3) = $\frac{(2 x + 3 - 3)}{2}$ = x

fog (x) = gof (x)