All Questions ⁺⁰237208 Questions

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Algebra

Find all real numbers x that satisfy the equation
|x + 4| + |x - 7| = 3x - 1 + |3x - 7|.
If you find more than one such value of x, list all of your solutions separated by commas. If you only find one solution, then just enter that so read more ..

AnswerscorrectIy Mar 16, 2025

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+1196

Algebra

Compute
\frac{\{\sqrt{3}\} - 4 \{\sqrt{5}\}}{\{\sqrt{3}\}^2 + \{\sqrt{2}\}^2}.

AnswerscorrectIy Mar 16, 2025

Mar 15, 2025

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+1196

Algebra

Find the area of the region determined by the system
y \ge |x|, \\
y \le -|2x + 1| + 6.

AnswerscorrectIy Mar 15, 2025

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+1196

Algebra

Let f be the piecewise function such that
f(x) =
x^2 - 5x - 64 & \text{if} \ x \le 0, \\
x^2 + 3x - 38 & \text{if} \ x > 0.
Find all x such that f(x) = 50.

AnswerscorrectIy Mar 15, 2025

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+1196

Algebra

Find the solutions to
|x^2 + 8x| = 9 - |x^4 + 3x^2 + 2|

AnswerscorrectIy Mar 15, 2025

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+766

Algebra

What is the horizontal asymptote as x approaches positive infinity of the graph of
y = \sqrt{4x^2 + 5x} - \sqrt{4x^2}?
The horizontal asymptote is in the form y = mx + k.

crimefightingvigiI Mar 15, 2025

+1

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2

+766

Algebra

Find all real x where
2 \cdot \frac{x - 5}{x - 3} > \frac{2x - 5}{x + 2} + 20.
Give your answer in interval notation.

crimefightingvigiI Mar 15, 2025

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+766

Algebra

Find the values of x where the vertical asymptotes of f(g(x)) are located, where
f(x) = \frac{2x - 8}{x^2 - 2x - 3} and g(x) = \frac{x^3 + 2x + 9}{x^2 + 4}.

crimefightingvigiI Mar 15, 2025

Mar 14, 2025

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1

+111

Algebra

Fill in the blanks, to make a true equation:
(8x^3 + 24x^2 + 15x + 1)/((x^2 - 1)(x^2 + 3x)) = ___/(x - 1) + ___/(x + 3) + ___/x + ___/(x + 1)

coIinqiu Mar 14, 2025

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+111

Algebra

Find the all real numbers that are not in the domain of f(g(x)), where
f(x) = \frac{3x^2 - 10x - 25}{x + 1} and g(x) = \frac{14x - 6}{3x^2 + 5x + 15}

coIinqiu Mar 14, 2025

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+111

Algebra

Give a polynomial g(x) so that f(x) + g(x) has a horizontal asymptote of y = 0 as x approaches positive infinity, where
f(x) = \frac{2x^4 - 3x^3 - 8x^2 + 4x - 4}{x^2 + x}.

coIinqiu Mar 14, 2025

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+111

Algebra

Fill in the blanks, to make a true equation:
\frac{2x^4 - 3x^3 - x^2 + 4x - 4}{x^2 + x} = ___x^2 + ___x + ___ + ___/x + ___/(x + 1).

coIinqiu Mar 14, 2025

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+111

Algebra

Find the largest value of x where the plots of
f(x) = - \frac{2x + 5}{x + 3} and g(x) = \frac{12}{x - 1}
intersect.

coIinqiu Mar 14, 2025

Mar 13, 2025

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2

+111

Algebra

Fill in the blanks with constants, to make a true equation:
\frac{x^2 - 6x - 3}{x^3 - 4x} = ___/x + ___/(x - 2) + ___/(x + 2)

coIinqiu Mar 13, 2025

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+111

Algebra

Let (x,y,z) be the real solution to the system of equations
x + y = \sqrt{4z + 3}
y + z = \sqrt{4x - 1}
z + x = \sqrt{4y + 5}
Find x + y + z.

coIinqiu Mar 13, 2025

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+111

Algebra

Find all x such that
sqrt{3x^2 + 2x + 1} + sqrt{3x^2 + 2x - 3} = 20.

coIinqiu Mar 13, 2025

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+111

Algebra

Simplify \frac{6 \sqrt{2]}{\sqrt{2} - \sqrt{3} - \sqrt{5}}

coIinqiu Mar 13, 2025

Mar 12, 2025

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+111

Algebra

Fill in the blanks.
If f(x) is an even function and g(x) is an even function and h(x) is an even function, then f(x) + g(x) + h(x) is an ___ function.
If f(x) is an odd function and g(x) is an odd function and h(x) read more ..

coIinqiu Mar 12, 2025

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+111

Algebra

Find the value of x that maximizes
f(x) = \log (-20x + 16 \sqrt{x} - x).

coIinqiu Mar 12, 2025

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+111

Algebra

If 2^{16^x} = 128*4^x, then find 2^x.

coIinqiu Mar 12, 2025

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+111

Algebra

Express 2 + sqrt(2) + 1/(2 + sqrt(3)) + 1/(sqrt(5) - 2) in simplest form.

coIinqiu Mar 12, 2025

Mar 11, 2025

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+1196

Algebra

For each of the following functions, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain. Select all the properties that apply.
f(x) = x + 2 \lfloor x \rfloor + sqrt{x} - \frac{1}{|x|}

AnswerscorrectIy Mar 11, 2025

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+1196

Algebra

For each of the following functions, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain. Select all the properties that apply.
f(x) = \frac{x}{\sqrt{x^2 + 1}} + \frac{1}{x^2} - \frac{x}{x^2 - 1 read more ..

AnswerscorrectIy Mar 11, 2025

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+1196

Algebra

For each of the following functions, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain. Select all the properties that apply.
f(x) = \frac{\sqrt{|x|}}{x} + x + \frac{1}{x^2}

AnswerscorrectIy Mar 11, 2025

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+1196

Algebra

For each of the following functions, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain. Select all the properties that apply.
f(x) = \frac{1}{\sqrt{x^2 + 1}} - \frac{1}{x}

AnswerscorrectIy Mar 11, 2025

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