Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
Answer:
x = 5
Step-by-step explanation:
3x - 2 = x + 8
Subtract x from each side
3x-x - 2 = x-x + 8
2x -2 = 8
Add 2 to each side
2x-2+2 = 8+2
2x = 10
Divide each side by 2
2x/2 =10/2
x = 5
Answer:
C:108+4x+4=180
Step-by-step explanation:
The angles are supplementary so they sum up to 180
