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  • <img alt="If \; f\left ( x \right )= -4x+9\: \: and\: g\left ( x \right )= 2x-7\: \: then\: \: fog\left ( x \right )=" src="http://entrancecorner.oncodecogs.com/gif.latex?If%20%5C%3B%20f%5Cleft%20%

If \; f\left ( x \right )= -4x+9\: \: and\: g\left ( x \right )= 2x-7\: \: then\: \: fog\left ( x \right )=

Option: 1

6x-16


Option: 2

-8x+37


Option: 3

2x-16


Option: 4

-2x+2


Answers (1)

best_answer

As we learnt

COMPOSITION OF FUNCTIONS
Composition of f and g, denoted by g o f, then

g o f (x) = g (f (x)) and f o g (x) = f(g(x))
 

Now,

 fog\left ( x \right )= f(g(x)) = -4\left ( 2x-7 \right )+9

                 =-8x+28+9=-8x+37

 

Posted by

manish painkra

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