Math Is Fun Forum

guest0408

Guest

algebra

hi

1. Let A(t) = 3- 2t^2 + 4^t. Find A(2) - A(1).

2.The function f(x) satisfies
f(sqrt(x+1))=1/x
for all x>= -1, x is non zero. Find f(2)

3. Let
f(x)= (3x-7)/(x+1)
Find the domain of f. Give your answer as an interval.

4. let f(x)= (2-3x)/(5-2x). For what value of a is f(a)=3

5. Let f(x)= x^2 +4x-31. For what value of a is there exactly one real value of x such that f(x)=a.

6. Let f(x)=3x^2-4x. Find the constant k such that f(x)=f(k-x) for all real numbers x.

7. Let f be a function such that f(x+y)=x + f(y) for any two real numbers x and y. If f(0) = 2, then what is f(2012)?

8. Find all complex numbers z such that z^2=2i.
Write your solutions in a+bi form, seperated by commas.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: algebra

1. Let A(t) = 3- 2t^2 + 4^t. Find A(2) - A(1).
A(2) - A(1) = (3- 2(2)^2 + 4^2) - (3- 2(1)^2 + 4^1)
Sure you can continue.

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

salem_ohio

Member

Registered: 2016-03-11

Posts: 37

Re: algebra

4. f(a)=3 for a=13/3