Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.

part a: find (f + g)(x). show your work. (3 points)

part b: find (f ⋅ g)(x). show your work. (3 points)

part c: find f[g(x)]. show your work. (4 points)

Hillel is juggling flaming torches to raise money for charity. his initial appearance raises $500\$500 $500 , and he raises $15\$15 $15 for each minute of juggling performance. the amount rr r of money hillel raises is a function of tt t , the length of his performance in minutes. write the function's formula.

Which shows the correct lengths of side c in both scales? scale 1: 45 m; scale 2: 60 m scale 1: 60 m; scale 2: 45 m scale 1: 36 m; scale 2: 27 m scale 1: 27 m; scale 2: 36 m mark this and return save and exit

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.