SOLUTION: 1. Find (f-g)(x) if f(x)=x^2-2x-24 and g(x)=x^2-x-30;
2. If f(x)=x+4 and g(x)=2x^2-x-1, find the composition(fog)(2);
3. Write the sentence as an equation: y varies direc
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Question 147370: 1. Find (f-g)(x) if f(x)=x^2-2x-24 and g(x)=x^2-x-30;
2. If f(x)=x+4 and g(x)=2x^2-x-1, find the composition(fog)(2);
3. Write the sentence as an equation: y varies directly as x;
4. Use the compound interest formula a=p(1+r/n)^nt, to find A when investing a principle of $500.00 at an interest rate of 5% for 10 years, compounded quarterly.
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. Find (f-g)(x) if f(x)=x^2-2x-24 and g(x)=x^2-x-30;
(f-g)(x) = f(x)-g(x)
= x^2-2x-24 - (x^2-x-30)
= -x + 6
---------------------
2. If f(x)=x+4 and g(x)=2x^2-x-1, find the composition(fog)(2);
(fog)(2) = f[g(2)]
= f[2*2^2-2-1]
= f[5]
= 5+4
= 9
--------------
3. Write the sentence as an equation: y varies directly as x;
y = kx
--------------
4. Use the compound interest formula a=p(1+r/n)^nt, to find A when investing a principle of $500.00 at an interest rate of 5% for 10 years, compounded quarterly.
A(10) = 500(1+(0.05/4))^(4*10)
A(10) = 500(1.0125)^(40)
A(10) = 500*1.643619...
A(10) = $821.81
=============
Cheers,
Stan H.
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