For the function f construct and simplify the difference fx

For the function f, construct and simplify the difference f(x) = 7 - 7x^3 Find the requested function value. f(x) = 8x - 2, g (x) = -3x^2 - 5x - 4 Find (g compositefunction f) (-9). For the pair of functions, find the indicated composition f(x) = 4x + 15, g (x) = 3x - 1 Find (f compositefunction g) (x).

Solution

solution

f(x)= 8x-2

g(x)= 3x^2-5x-4

(gof)(-9)

(g o f)(-9) means g[ f(-9) ], so the first order of business is to find f(-9). Go to the f(x) formula and substitute 3 for the x, giving you

f(-9)= -72-2=-74

Now, find g[ f(-9) ] = 3(-74)^2-5(-74)-4

   = 16428+370-4

   = 16749.