Question

Im having a little trouble help please?
1.Given the table below, evaluate the following:

x -3 -2 -1 0 1 2 3 4 5

f(x) 10 20 30 40 50 60 70 80 90

g(x) -1 -2 -3 -4 -5 -6 -7 -8 -9
a. (3f+2g(1) b. (fog)(-1)

2. Express the following function, H(x) as a composition of two functions f and g
h(x)= x^2/(x^2+4)

Answer 1

(a) if you mean (3f+2g)(1) then that is
3f(1)+2g(1) = 3*50 + 2(-5) = 140

(f◦g)(-1) = f(g(-1)) = f(-3) = 10

f(x) = x^2
g(x) = x/(x+4)

h(x) = g◦f = f/(f+4) = x^2/(x^2+4)