Quiz about Ch 6 Review

Question 1

Find Inverse

{(-3, 9), (-2, 4), (0, 0), (1, 1)}

Accepted Answer

{(9, -3), (4, -2), (0, 0), (1, 1)}

Answer

{(4, -3), (9, -2), (0, 1), (0, 1)}

Answer

{(0, -3), (1, -2), (0, 9), (4, 1)}

Answer

{(-3, 9), (-2, 4), (0, 0), (1, 1)}

Question 2

Find Inverse.

{(8, -2), (10, 5), (12, 6), (14, 7)}

Accepted Answer

{(-2, 8), (5, 10), (6, 12), (7, 14)}

Answer

{(8, -2), (10, 5), (12, 6), (14, 7)}

Answer

{(-2, 5), (5, 8), (6, 10), (7, 6)}

Answer

{(5, 8), (-2, 10), (7, 12), (6, 14)}

Question 3

Find Inverse

{(5, -5), (-3, 7), (11, -4)}

Accepted Answer

{(-5, 5), (7, -3), (-4, 11)}

Answer

{(5, -5), (7, -3), (-4, 11)}

Answer

{(-5, 5), (-7, 3), (-4, 11)}

Answer

{(-5, 5), (7, -3), (4, -11)}

Question 4

Find inverse.

{(1, -5), (7, 1), (9, -6), (14, -9)}

Accepted Answer

{(-5, 1), (1, 7), (-6, 9), (-9, 14)}

Answer

{(-5, 1), (1, 7), (-6, -9), (-9, 14)}

Answer

{(-5, 1), (1, 7), (-6, 9), (-9, -14)}

Question 5

$$\sqrt[4]{625a^{32}b^{24}}$$

Accepted Answer

$$5a^8b^6$$

Answer

$$5a^{32}b^{24}$$

Answer

$$156.25a^{32}b^{24}$$

Answer

$$156.25a^8b^6$$

Question 6

$$\sqrt[]{36x^{10}y^6}$$

Accepted Answer

$$6x^5y^3$$

Answer

$$18x^5y^3$$

Answer

$$18x^{10}y^6$$

Answer

$$6x^{10}y^6$$

Question 7

$$\sqrt[4]{81a^{32}b^{20}}$$

Accepted Answer

$$3a^8b^5$$

Answer

$$20.25a^{32}b^{20}$$

Answer

$$3a^{32}b^{20}$$

Answer

$$20.25a^8b^5$$

Question 8

$$\sqrt[]{25x^{20}y^{14}}$$

Accepted Answer

$$5x^{10}y^7$$

Answer

$$12.5x^{10}y^{14}$$

Answer

$$12.5x^{20}y^{14}$$

Answer

$$5x^{20}y^{14}$$

Question 9

$$\sqrt[]{72x^5y^{12}}$$

Accepted Answer

$$6x^2y^6\cdot\sqrt[]{2x}$$

Answer

$$6x^2y^6\cdot\sqrt[]{x}$$

Answer

$$6y^2\cdot\sqrt[]{2x^5}$$

Answer

$$6\sqrt[]{2x^5y^{12}}$$

Question 10

$$\sqrt[3]{8g^3k^8}$$

Accepted Answer

$$2gk^2\cdot\sqrt[3]{k^2}$$

Answer

$$2gk^3$$

Answer

$$2gk^2\cdot\sqrt[]{k^2}$$

Answer

$$2\left|g\right|k^2\cdot\sqrt[3]{k^2}$$

Question 11

Identify the Domain of the graph $$y=\sqrt[]{x+3}+9$$

Accepted Answer

$$x\ge-3$$

Answer

$$x\le-\frac{1}{3}$$

Answer

$$x\ge3$$

Answer

$$x\ge-\frac{1}{3}$$

Question 12

$$\sqrt[3]{125t^6w^2}$$

Accepted Answer

$$5t^2\cdot\sqrt[3]{w^2}$$

Answer

$$5t^2\cdot\sqrt[]{w^2}$$

Answer

$$25t^2\cdot\sqrt[3]{w^2}$$

Answer

$$5t^3\cdot\sqrt[3]{w^2}$$

Question 13

$$6\sqrt[]{20}+8\sqrt[]{5}-5\sqrt[]{45}$$

Accepted Answer

$$5\sqrt[]{5}$$

Answer

$$9\sqrt[]{-20}$$

Answer

$$5\sqrt[]{-5}$$

Answer

$$-5\sqrt[]{5}$$

Question 14

$$\left(3\sqrt[]{15}\right)\left(-4\sqrt[]{45}\right)$$

Accepted Answer

$$-180\sqrt[]{3}$$

Answer

$$3\sqrt[]{15}-12\sqrt[]{5}$$

Answer

$$-360\sqrt[]{3}$$

Answer

$$-36\sqrt[]{15}$$

Question 15

$$\sqrt[3]{128}$$

Accepted Answer

$$4\cdot\sqrt[3]{2}$$

Answer

$$4\cdot\sqrt[3]{4}$$

Answer

$$8\cdot\sqrt[3]{2}$$

Answer

$$4\cdot\sqrt[]{2}$$

Question 16

$$8\sqrt[]{48}-6\sqrt[]{75}+7\sqrt[]{80}$$

Accepted Answer

$$2\sqrt[]{3}+28\sqrt[]{5}$$

Answer

$$30\sqrt[]{8}$$

Answer

$$9\sqrt[]{53}$$

Answer

$$-2\sqrt[]{3}+28\sqrt[]{5}$$

Question 17

$$\left(2\sqrt[]{24}\right)\left(7\sqrt[]{18}\right)$$

Accepted Answer

$$168\sqrt[]{3}$$

Answer

$$-168\sqrt[]{3}$$

Answer

$$14\sqrt[]{432}$$

Answer

$$26\sqrt[]{3}$$

Question 18

Determine if the following functions are inverse.

$$f\left(x\right)=x+6$$

$$g\left(x\right)=x-6$$

Accepted Answer

yes

Answer

no

Question 19

Determine if the following functions are inverses.

$$f\left(x\right)=2x$$

$$g\left(x\right)=-2x$$

Accepted Answer

no

Answer

yes

Question 20

$$\sqrt[]{121}$$

Accepted Answer

11

Answer

Not a Real number

Answer

$$\sqrt[]{11}$$

Answer

-11

Question 21

$$If\ f\left(x\right)=x+5\ and\ g\left(x\right)=2x,\ find\ \left(f\cdot g\right)\left(x\right).$$

Accepted Answer

$$2x^2+10x$$

Answer

$$3x^2+10x$$

Answer

$$2x+10$$

Answer

$$2x^2+5$$

Question 22

$$For\ f\left(x\right)=x+5\ and\ g\left(x\right)=2x,\ find\ \left(f+g\right)\left(x\right).$$

Accepted Answer

3x + 5

Answer

x + 5

Answer

$$2x^2+5$$

Answer

2x + 10

Question 23

$$\left(2+\sqrt[]{5}\right)\left(3-\sqrt[]{5}\right)$$

Accepted Answer

$$1+\sqrt[]{5}$$

Answer

$$-1+\sqrt[]{5}$$

Answer

$$1-\sqrt[]{5}$$

Answer

$$-1-\sqrt[]{5}$$

Question 24

$$\sqrt[3]{-64}$$

Accepted Answer

-4

Answer

8

Answer

4

Answer

4i

Question 25

$$\sqrt[3]{216p^3q^9}$$

Accepted Answer

$$6pq^3$$

Answer

$$6\left|pq^3\right|$$

Answer

$$-6pq^3$$

Answer

$$6p^9q^{27}$$

Question 26

$$Find\ the\ inverse\ of\ g\left(x\right)=-3x.$$

Accepted Answer

$$g^{-1}\left(x\right)=-\frac{1}{3}x$$

Answer

$$g^{-1}\left(x\right)=x+1$$

Answer

$$g^{-1}\left(x\right)=-3x-3$$

Answer

$$g^{-1}\left(x\right)=x-1$$

Question 27

$$Given\ f\left(x\right)=x^2+3x-4\ and\ g\left(x\right)=x-1,\ find\ \left(\frac{f}{g}\right)\left(x\right).$$

Accepted Answer

x + 4

Answer

x + 7

Answer

x + 3

Answer

x + 2

Question 28

$$\sqrt[]{75}+\sqrt[]{12}$$

Accepted Answer

$$7\cdot\sqrt[]{3}$$

Answer

$$10\sqrt[]{3}$$

Answer

$$\sqrt[]{87}$$

Answer

21

Question 29

If f(x) = {(2, 3), (4, 8), (7, -1)} and g(x) = {(8, 2), (-1, 4), (2, 7)}, find $$\left(f\ \degree\ g\right)\left(x\right)$$ , if it exists.

Accepted Answer

{(8, 3), (-1, 8), (2, -1)}

Answer

does not exist

Answer

{(-1, 3), (8, 8), (2, -1)}

Answer

{(2, 3), (-1, 8), (8, -1)}

Question 30

$$\sqrt[]{98x^{23}y^{24}}$$

Accepted Answer

$$7x^{11}y^{12}\cdot\sqrt[]{2x}$$

Answer

$$7x^{11}y^{12}\cdot\sqrt[]{x}$$

Answer

$$7y^{12}\cdot\sqrt[]{2x^{23}}$$

Answer

$$7\cdot\sqrt[]{2x^{23}y^{24}}$$

Question 31

$$Find\ \left(f+g\right)\left(x\right).$$

$$f\left(x\right)=4x^2+7x+11$$

$$g\left(x\right)=9x+7$$

Accepted Answer

$$4x^2+16x+18$$

Answer

$$13x^2+14x+11$$

Answer

$$13x^3+14x+11$$

Answer

$$4x^2+16x+11$$

Question 32

$$Find\ \left(f-g\right)\left(x\right).$$

$$f\left(x\right)=x^2+8x$$

$$g\left(x\right)=3x+5$$

Accepted Answer

$$x^2+5x-5$$

Answer

$$x^2+5x+5$$

Answer

$$-x^2-5x+5$$

Answer

$$x^2+11x+5$$

Question 33

Find the inverse.

$$f\left(x\right)=2x-7$$

Accepted Answer

$$f^{-1}\left(x\right)=\frac{x+7}{2}$$

Answer

$$f^{-1}\left(x\right)=x+\frac{7}{2}$$

Answer

$$f^{-1}\left(x\right)=7x-2$$

Answer

$$f^{-1}\left(x\right)=\frac{1}{2}x+7$$

Question 34

$$\sqrt[3]{216x^9}$$

Accepted Answer

$$6x^3$$

Answer

$$6x^6$$

Answer

$$36x^3$$

Answer

$$\pm6x^3$$

Question 35

$$Find\ \left(f+g\right)\left(x\right).$$

$$f\left(x\right)=x^2+3x-5$$

$$g\left(x\right)=2x+1$$

Accepted Answer

$$x^2+5x-4$$

Answer

$$2x^2+4x-5$$

Answer

$$x^2+x-6$$

Answer

$$-x^2-5x+4$$

Question 36

$$\left(4+\sqrt[]{5}\right)\left(6+\sqrt[]{2}\right)$$

Accepted Answer

$$24+4\sqrt[]{2}+6\sqrt[]{5}+\sqrt[]{10}$$

Answer

$$24+4\sqrt[]{2}+6\sqrt[]{5}-\sqrt[]{10}$$

Answer

$$24-4\sqrt[]{2}+6\sqrt[]{5}+\sqrt[]{10}$$

Answer

$$24-4\sqrt[]{2}+6\sqrt[]{5}-\sqrt[]{10}$$

Question 37

$$\sqrt[]{294}+\sqrt[]{24}-\sqrt[]{54}$$

Accepted Answer

$$6\sqrt[]{6}$$

Answer

$$8\sqrt[]{7}$$

Answer

$$12\sqrt[]{6}$$

Answer

$$6\sqrt[]{7}$$

Ch 6 Review

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