Provide an appropriate response.Graph f(x) = cos-1  and g(x) = tan-1  . Explain why the graph looks like it does.

What will be an ideal response?


When x is positive these graphs are identical because they are both giving the same angle.    When x is negative both functions are still referring to the same angle. However, inverse cosine gives values between ?/2 and ? while inverse tangent gives values between -?/2 and 0.

Mathematics

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Factor completely.7y2 + 49y + 84

A. 7(y + 4)(y + 3) B. 7(y - 4)(y - 3) C. (y + 4)(7y + 21) D. (7y + 4)(y + 3)

Mathematics

Factor completely.x2y - 14xy2 + 49y3

A. y(x - 7y)2 B. y(x - 7)2 C. y(x + 7y)2 D. y(x - 7)(x + 7)

Mathematics

Write the set as indicated.Write {2, 4, 6, 8} using set-builder notation.

A. {x?x is any even natural number} B. {2, 4, 6, 8} C. {x?x is any natural number} D. {x?x is an even natural number less than 10}

Mathematics

Find an equation for the circle.Center at (4, -6), radius of length 

A. (x - 4)2 + (y + 6)2 = 
B. (x + 4)2 + (y - 6)2 = 
C. (x - 4)2 + (y - 6)2 = 
D. (x + 4)2 - (y + 6)2 = 16

Mathematics