All Questions ⁺⁰237779 Questions

0

13

1

+1271

Algebra

What is the range of the function g(x) = (6x + 7)(2x - 3)?

Akhain1 Feb 22, 2025

0

15

0

+1271

Algebra

The domain of the function p(x) = x^2 + 8x + 7x^3 is (-infty,infty). What is the range?

Akhain1 Feb 22, 2025

0

26

0

+1271

Algebra

The domain of the function q(x) = x^4 + 8x^2 + 7x^3 is (-infty,infty). What is the range?

Akhain1 Feb 22, 2025

0

28

0

+613

Algebra

The domain of the function r(x) = (x^2 + 1)/(1 - x)^2 is (-infty,1) U (1,infty). What is the range?

Pythagorearn Feb 22, 2025

0

28

0

+613

Algebra

Find all values of t such that t - 1, t + 1, and 6 - t could be the lengths of the sides of a right triangle.

Pythagorearn Feb 22, 2025

0

13

0

+613

Algebra

Give an example of a quadratic function that has zeroes at x = 2 and x = -2, and that takes the value 0 when x = 2.

Pythagorearn Feb 22, 2025

0

26

0

+613

Algebra

Suppose f is a function such that f(f(x)) = x for all x in the domain of f, and suppose that f(-3) = 0. If f(x) = ax + b, then find a and b. Find all solutions to f(x) = 5.

Pythagorearn Feb 22, 2025

0

26

0

+608

Algebra

Suppose the domain of f is (-1,3). Define the function g by
g(x) = f(x - 4x^2)
What is the domain of g?

onyuIee Feb 22, 2025

0

19

0

+608

Algebra

Suppose the domain of f is (-1,3). Define the function g by
g(x) = 5 - f(x) + f(5/x).
What is the domain of g?

onyuIee Feb 22, 2025

0

25

0

+608

Algebra

Suppose the domain of f is (-1,3). Define the function g by
g(x) = f(2/x + x/2).
What is the domain of g?

onyuIee Feb 22, 2025

0

19

0

+608

Algebra

Suppose the domain of f is (-1,3). Define the function g by
g(x) = f((x + 1)(x - 2)).
What is the domain of g?

onyuIee Feb 22, 2025

0

1

29

0

+498

Algebra

Suppose the domain of f is (-1,3). Define the function g by
g(x) = f(sqrt(x)/sqrt(-x)).
What is the domain of g?

MeIdHunter Feb 22, 2025

0

1

26

0

+498

Algebra

Suppose f(x) = \frac{9}{5} x - 4 + x^2. Does f have an inverse? If so, find f^{-1}(0). If not, enter "undef".

MeIdHunter Feb 22, 2025

0

1

23

0

+498

Algebra

Suppose f(x) = -3x^2 + 6x - 17 + 3x^2 + 2x - 14. Does f have an inverse function? If so, find f^{-1}(-41). If not, enter "undef".

MeIdHunter Feb 22, 2025

0

1

22

0

+498

Algebra

Suppose f(x) = \frac{1}{\sqrt{x}} + x^2 for x > 0. Does f have an inverse? If so, find f^{-1}(2). If not, enter "undef".

MeIdHunter Feb 22, 2025

0

8

20

0

+1024

Algebra

Functions that aren't invertible can be made invertible by restricting their domains. For example, the function $x^2$ is invertible if we restrict $x$ to the interval $[0,\infty)$, or to any subset of that interval. In that case, the inverse function is read more ..

Hi6942O Feb 22, 2025

0

9

20

0

+1024

Algebra

The function
f(x) = \frac{cx}{x - 1}
satisfies f(f(x)) = x for all real numbers x \neq 1. Find the value of c.

Hi6942O Feb 22, 2025

0

6

20

0

+1024

Algebra

Compute
(2 + 3i) + (2 - 3i) + (-2 + 3i) + (-2 - 3i).

Hi6942O Feb 22, 2025

0

7

13

0

+1024

Algebra

Compute 1 + i + i^2 + i^3 + i^4 + \dots + i^{2000} + \dots + i^{2025}.

Hi6942O Feb 22, 2025

0

27

0

+1844

Algebra

Express
\cfrac{1}{1 - \cfrac{1}{2 + \cfrac{1}{i}}}
in the form a+bi, where a and b are real numbers.

blackpanther Feb 22, 2025

0

27

0

+1844

Algebra

Find all complex numbers $z$ satisfying the equation
\frac{z + 1}{z - 1} = 1 + i + \frac{5 + 2i}{z}.

blackpanther Feb 22, 2025

0

31

0

+1844

Algebra

Find all complex numbers z satisfying the equation
\frac{z + 1}{z - 1} = 2 + i + \frac{-7 + 3z}{z}.

blackpanther Feb 22, 2025

0

27

0

+1844

Algebra

Find a complex number $z$ such that the real part and imaginary part of $z$ are both integers, and such that
z^2 + 2z = -53 + 8i.

blackpanther Feb 22, 2025

0

24

0

+774

Algebra

Compute (-5 + 4i) + (-5 - 4i).
Express your answer in the form $a+bi$, where $a$ and $b$ are real numbers.

siIviajendeukie Feb 22, 2025

0

25

0

+774

Algebra

Simplify (i + 1)(100) - (i - 1)(100).

siIviajendeukie Feb 22, 2025

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