F(x) = 4x – 13
g(x) = 3x2 – 7x – 13
Find: f(g(x))

f(g(x)) = 12x²-28x-65

Step-by-step explanation:

hello :

f(x) = 4x – 13

g(x) = 3x² – 7x – 13

f(g(x)) =f(3x² – 7x – 13) =4(3x² – 7x – 13)-13

f(g(x)) = 12x²-28x-65

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c