Question

for the pair of functions,f(x)=2x and g(x)=6x^2-3x+6
find the following pairs
a)(f 0 g)(x), b)(f 0 g)(-3) c) (g 0 f)(x) c)(g 0 f)(4)
I am haing trouble with these two, can you please help me
thankyou

Answer 1

I will use the more traditional way of writing these

(f 0 g)(x)
= f(g(x))
= f(6x^2 - 3x + 6)
= 2(6x^2 - 3x + 6) or 12x^2 - 6x + 12

(f 0 g)(-3))
= 12(9) - 6(-3) + 12 = 138
or
g(-3) = 6(9) - 3(-3) + 6 = 69
f(g(-3)) = f(69) = 138

try the others the same way