Answer:
Step-by-step explanation:
Given that there are two functions f and g as
We have to find the composition of functions.
Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.
a)
b) 
c) ![fof = f(\sqrt{x} ) = \sqrt[4]{x}](https://tex.z-dn.net/?f=fof%20%3D%20f%28%5Csqrt%7Bx%7D%20%29%20%3D%20%5Csqrt%5B4%5D%7Bx%7D)
d) 
We know that x = 30 + y, because the problem says that there are 30 more football players than basketball players.
Each group has 10 more members added: x + 10 and y + 10. We can write x + 10 as 30 + y + 10 or 40 + y.
The ratio (40 + y)/(y + 10) = 3/2. You can cross multiply to get:
80 + 2y = 3y + 30
Combine like terms to get:
y = 50 members on the basketball team. Since there are 30 more members on the football team, you just add 30 to 50 to get x = 80 members on the football team.
Answer:
angle ABC= 2* 61= 122
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
8c
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
Step-by-step explanation:
f(x) = x^2 - x ; g(x) = x^2 + x
f(g(x)) = (x^2 + x)^2 - (x^2 + x)
f(g(x)) = (x^2 + x)^2 - x^2 - x
f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x
f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = (x^2 - x)^2 + x^2 - x
g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x
g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
