For the given functions f and g, find: a. $$\left(f\ \circ\ g\right)\left(4\right)$$ b. $$\left(g\ \circ\ f\right)\left(2\right)$$ c. $$\left(f\ \circ\ f\right)\left(1\right)$$ d. $$\left(g\ \circ\ g\right)\left(0\right)$$ $$f\left(x\right)=\left|x-2\right|;\ g\left(x\right)=\frac{3}{x^2+2}$$

a. $$\frac{11}{6}$$ b. $$\frac{3}{2}$$ c. 1 d. $$\frac{12}{17}$$

a. $$\frac{1}{22}$$ b. 23 c. 30 d. $$\frac{61}{8}$$

a. 6 b. 8 c. $$\frac{85}{192}$$ d. 1

For the given functions f and g, find: a. $$f\ \circ\ g$$ b. $$g\ \circ\ f$$ State the domain of each domposite function. $$f\left(x\right)=x^2+1;\ g\left(x\right)=2x^2+3$$

a. $$4x^4+12x^2+10$$ ; All Real Numbers b. $$2x^4+4x^2+5$$ ; All Real Numbers

a. $$2x^4+4x^2+5$$ ; All Real Numbers b. $$4x^4+12x^2+10$$ ; All Real Numbers

Find the inverse of each one-to-one function. State the domain and the range of the inverse function. $$\left\{\left(-2,\ 2\right),\ \left(-1,\ 6\right),\ \left(0,\ 8\right),\ \left(1,\ -3\right),\ \left(2,\ 9\right)\right\}$$

$$\left\{\left(2,\ -2\right),\ \left(6,\ -1\right).\ \left(-3,\ 1\right),\ \left(9,\ 2\right)\right\}$$ ; Domain: $$\left\{2,\ 6,\ 8,\ -3,\ 9\right\}$$ ; Range: $$\left\{-2,\ -1,\ 0,\ 1,\ 2\right\}$$

$$\left\{\left(-2,\ 2\right),\ \left(-1,\ 6\right),\ \left(0,\ 8\right),\ \left(1,\ -3\right),\ \left(2,\ 9\right)\right\}$$ ; Domain: $$\left\{2,\ 6,\ 8,\ -3,\ 9\right\}$$ Range: $$\left\{-2,\ -1,\ 0,\ 1,\ 2\right\}$$

$$\left\{\left(2,\ -2\right),\ \left(6,\ -1\right).\ \left(-3,\ 1\right),\ \left(9,\ 2\right)\right\}$$ ; Domain: $$\left\{-2,\ -1,\ 0,\ 1,\ 2\right\}$$ Range: $$\left\{2,\ 6,\ 8,\ -3,\ 9\right\}$$

$$\left\{\left(-2,\ 2\right),\ \left(-1,\ 6\right),\ \left(0,\ 8\right),\ \left(1,\ -3\right),\ \left(2,\ 9\right)\right\}$$ Domain: $$\left\{-2,\ -1,\ 0,\ 1,\ 2\right\}$$ Range: $$\left\{2,\ 6,\ 8,\ -3,\ 9\right\}$$

Review for Test Chapter 5

Authored by Paola Enríquez

Mathematics

12th Grade - University

CCSS covered

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

a. 22

b. 5

c. 1

d. 0

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine whether the function is one-to-one.

Yes

Not enough information

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Yes

Not enough information

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The graph of a function f is given. Use the horizontal-line test to determine whether f is a one-to-one function.

Yes

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the inverse of each one-to-one function. State the domain and the range of the inverse function.

Domain: {$761, $659, $623, $535, $475}

Range: {Avatar, Titanic, Mrvel's The Avengers,The Dark Knight, The Phantom Menace}

Domain: {Avatar, Titanic, Mrvel's The Avengers,The Dark Knight, The Phantom Menace}

Range: {$761, $659, $623, $535, $475}

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Tags

CCSS.HSF-BF.B.4C

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