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Square Root Functions — Quiz Answers

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Which equation is the inverse of y is equal to 2 x squared minus 8 ?

A
y is equal to the fraction with numerator plus or minus square root of x plus 8 end root and denominator 2
B
y is equal to plus or minus square root of x over 2 plus 8 end root
C
y is equal to plus or minus square root of the fraction with numerator x plus 8 and denominator 2 end root
D
y is equal to the fraction with numerator plus or minus square root of x and denominator 2 plus 4
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If f of x is equal to square root of x minus 3 end root , which inequality can be used to find the domain of f of x ?

A
square root of x minus 3 end root is less than or equal to 0
B
square root of x minus 3 end root is greater than or equal to 0
C
x minus 3 is greater than or equal to 0
D
x minus 3 is less than or equal to 0
3

Which equation can be simplified to find the inverse of y is equal to 2 x squared ?

A
y is equal to 1 half x squared
B
x is equal to 2 y squared
C
1 over y is equal to 2 x squared
D
negative y is equal to 2 x squared
4

Which equation is the inverse of y is equal to 100 minus x squared ?

A
y is equal to plus or minus square root of x minus 100 end root
B
y is equal to 100 plus or minus square root of x
C
y is equal to plus or minus square root of 100 minus x end root
D
y is equal to 10 plus or minus square root of x
5

Which equation can be simplified to find the inverse of y is equal to 5 x squared plus 10 ?

A
negative y is equal to 5 x squared plus 10
B
x is equal to 5 y squared plus 10
C
1 over y is equal to 5 x squared plus 10
D
y is equal to 1 fifth x squared plus 1 tenth
6

Which equation is the inverse of 5 y plus 4 is equal to open paren x plus 3 close paren squared plus 1 half ?

A
y is equal to 1 fifth x squared plus 6 fifths x plus 11 tenths
B
y is equal to negative 3 plus or minus square root of 5 x plus 7 halves end root
C
negative 5 y minus 4 is equal to negative open paren x plus 3 close paren squared minus 1 half
D
y is equal to 3 plus or minus square root of 5 x plus 7 halves end root
7

Which equation can be simplified to find the inverse of y is equal to x squared minus 7 ?

A
1 over x is equal to y squared minus 7
B
x is equal to y squared minus 7
C
negative x is equal to y squared minus 7
D
x is equal to y squared minus 1 seventh
8

Which equation is the inverse of 2 times open paren x minus 2 close paren squared is equal to 8 times open paren 7 plus y close paren ?

A
y is equal to 1 fourth x squared minus x minus 6
B
y is equal to 2 plus or minus square root of 28 plus 4 x end root
C
y is equal to negative 2 plus or minus square root of 28 plus 4 x end root
D
negative 2 times open paren x minus 2 close paren squared is equal to negative 8 times open paren 7 plus y close paren
9

If f of x is equal to square root of 1 half x minus 10 end root plus 3 , which inequality can be used to find the domain of f of x ?

A
square root of 1 half x is greater than or equal to 0
B
1 half x is greater than or equal to 0
C
square root of 1 half x minus 10 end root plus 3 is greater than or equal to 0
D
1 half x minus 10 is greater than or equal to 0
10

Which equation is the inverse of y is equal to 16 x squared plus 1 ?

A
y is equal to plus or minus square root of x over 16 minus 1 end root
B
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 4
C
y is equal to the fraction with numerator plus or minus square root of x and denominator 4 minus 1 fourth
D
y is equal to the fraction with numerator plus or minus square root of x minus 1 end root and denominator 16

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