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Given the definition of f(x)and g (x) below, find the value of (f g)(-1)

Given The Definition Of Fxand G X Below Find The Value Of F G1 class=

Sagot :

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Answer:

f(g(-1))  = 7

Step-by-step explanation:

Given the functions

f(x) = x^2 + 3x - 11

g(x) = 3x+6

f(g(x)) = f(3x+6)

f(3x+6) = ( 3x+6)² + 3( 3x+6) - 11

Substitute the value of x = -1

f(g(x)) = ( 3x+6)² + 3( 3x+6) - 11

f(g(-1)) = ( 3(-1)+6)² + 3( 3(-1)+6) - 11

f(g(-1)) = (-3+6)²+3(-3+6) - 11

f(g(-1))  = 3² + 3(3) - 11

f(g(-1)) = 9+9-11

f(g(-1)) =18 -11

f(g(-1))  = 7