f x4x26x3 g x6x5 Find g o fxSolutionGiven that f x4x26x3 g x

f (x)=4x^2+6x+3, g (x)=6x-5.

Find (g o f)(x)

Solution

Given that

f (x)=4x^2+6x+3, g (x)=6x-5.

(gof) (x) = g(f(x))

= g( 4x² +6x+3) ( Since f(x)= 4x²+6x+3)

= 6( 4x²+6x+3) -5 ( g(x)= 6x-5)

= 24x²+36x+18-5

=24x²+36x+13

Answer: (gof) (x) = 24x²+36x+13