Show that the function f has an inverse by showing that it is strictly monotonic.f(?) = tan ?,   < ? < ?

What will be an ideal response?


f'(?) = sec2 ? > 0 on (?/2, ?). Thus, f is monotonic increasing on (?/2, ?) and so it has an inverse there.

Mathematics

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Find the equation of the graphed line.

A. y = 6x - 5
B. y = x - 5
C. y = -6x - 5
D. y = x + 6

Mathematics

Perform the indicated operation. ?  ÷ 

A. 1
B.
C.  
D.  

Mathematics

Solve using the substitution method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this.a + 4b = 23a = -12b + 6

A. (4, 2) B. {(a, b)|a = 4b + 2} C. No solution D. {(a, b)|a + 4b = 2}

Mathematics

Which of the following is a correct interpretation of "p-value?"

a. The probability that the null hypothesis is true b. The probability that the null hypothesis is false c. The significance level for a hypothesis test d. None of the above

Mathematics