Question 1152452
Use 

{{{f(x) = 4x - 5}}}
 and 
{{{g(x) = 3- x^2}}}

 to evaluate the expression.

(a)    

({{{f}}} ∘ {{{g}}})({{{-2}}})

first find
({{{f}}} ∘ {{{g}}})({{{x}}})={{{f(3- x^2)= 4(3- x^2) - 5=12-4x^2-5=7-4x^2}}}

then

({{{f}}} ∘ {{{g}}})({{{-2}}})={{{7-4(-2)^2=7-4*4=7-16=-9}}}


(b)   
 
(g ∘ f)(−2)
({{{g}}} ∘ {{{f}}})({{{x}}})={{{g(4x-5)=3-(4x-5)^2=3-(16x^2-40x+25)=3-16x^2 + 40x -25=-16x^2 + 40x-22}}}

({{{g}}} ∘ {{{f}}})({{{x}}})={{{-16 (-2)^2 + 40 (-2)-22=-166}}}