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:
0.0019, 0.0091, 0.091, 0.55, 0.59, 5.0, 90.5
Answer:
20
Step-by-step explanation:
This is a very hard question but, i am a very hard man.
Answer:
Total money = $30,00,000
Step-by-step explanation:
Given:
4/5 money spend on house
3/4 remaining money spend on luxury yacht
2/3 remaining money spend on trip to space
Remaining $50,000 to charity
Find:
Total money
Computation:
Assume Total money = x
So,
Spend on house = [4x/5]
Spend on luxury yacht = [x-4x/5]3/4 = 3x/20
Spend on trip to space = [x/5-3x/20]2/3 = x/30
Remaining money = x/20 - x/30 = x/60 = $50,000
So,
x/60 = $50,000
x = $300,000
Total money = $30,00,000
