9. Given f(x) and g(x), find f(g(3)) f(x) = x2 +9
g(x) = x - 7
O A) -13
O B) 25
O C) 11
OD) 2

Work Shown:

g(x) = x-7

g(3) = 3-7 replace every x with 3

g(3) = -4

f(g(3)) = f(-4) replace g(3) with -4

f(x) = x^2+9

f(-4) = (-4)^2+9

f(-4) = 16+9

f(-4) = 25

f(g(3)) = 25

Another approach:

f(x) = x^2 + 9

f( g(x) ) = ( g(x) )^2 + 9 ... replace every x with g(x)

f( g(x) ) = ( x-7 )^2 + 9 ... plug in g(x) = x-7

f( g(3) ) = ( 3-7 )^2 + 9 plug in x = 3

f( g(3) ) = ( -4 )^2 + 9

f( g(3) ) = 16 + 9

f( g(3) ) = 25

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!