What is g(f(x)) when f(x) = 5x + 3, and g(x) = 3x2 + 3?

g(f(x)) =75x² + 90x + 30

Step-by-step explanation:

To find g(fx), all we need to do is to insert f(x) in g(x), that is anywhere x is in g(x), we replace the value of g(x) with x and then simplify

f(x) = 5x + 3         g(x) = 3x² + 3

g(f(x))  =  3(5x + 3)²  +  3

Next is to open the parenthesis and then simplify

(5x + 3)² = (5x + 3)(5x + 3)  = 5x(5x+3) + 3(5x+3) =25x² +15x +15x+9 = 25x²+30x+9

g(f(x)) = 3(25x² + 30x + 9) +  3

g(f(x)) = 75x² + 90x + 27 + 3

g(f(x)) =75x² + 90x + 30

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .