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First we find the value of f(4) which is equal to f(4)=4^2-3=13

Then we check each choice in order to find the one that h(f(4))= h(13)=24

If h(x)= x+11 then h(13)= 13+11=24 .


Therefore...

The double angle formula is given by
cos2x= cos^2x- sin^2x=1-2sin^2x=2cos^2x-1

So, cos^22x- sin^22x = cos2(2x)=cos4x=\frac{1}{2} .

Finally the required value is \frac{5}{cos^22x- sin^22x...

Complex roots occur in conjugate pairs which means that if a polynomial with real coefficients has a root of the form a+bi then a-bi is also a root.

Based on the aforementioned theorem we have...

The Remainder Theorem states that if a polynomial p(x) is divided by x-k then the remainder equals p(k).
Based on remainder theorem we have that the remainder of the aforementioned division is equal...

Thanks Nicole!

If 4^a \cdot 4^b =7^{2c}, which one of the following is the value of \frac{a+b}{2c}?


(A) \frac{log7}{log4}

(B) \frac{log4}{ log7}

(C) log4 \cdot log7

(D) log(4 \cdot 7)

Thanks for your quick response!:)

Which one of the following curves is represented by the equation (x-1)^2=9-y^2?

(A) Line

(B) Parabola

(C) Circle

(D) Hyperbola

Thanks! Nice solution!!:)

Which of the following is the median of this list of numbers{2,5,8,9,11,3,5,9,4,24,5,5,10}?


(A) 4

(B) 5

(C) 7

(D) 9

Thanks Nicole!

Which of the following is the value of sin(x) given that sec(x)=\frac{5}{2}?


(A) \frac{\sqrt{21}}{5}

(B) \frac{\sqrt{21}}{2}

(C) \frac{\sqrt{5}}{2}

(D) \frac{\sqrt{5}}{21}

Thank you!!:)

A straight line (l) has equation -5y=4-2x , which of the following is the slope of a perpendicular line to line (l)?


(A) \frac{5}{2}

(B) \frac{2}{5}

(C) \frac{-5}{2}

(D) ...

Thanks Nicole!!;)

If f(x)=x+4 , g(x)=x^2-2 and h(x)= \sqrt{x}, which of the following is f(g(h(x)))?


(A) x+2

(B) (x+2)^2

(C) (x+4)^2

(D) x+4

Thank you for your prompt reply!

Which of the following are the x-intercepts of the parabola y=x^2-5x+6?

(A) (0,2) \ and \ (0,3)

(B) (2,0) \ and \ (3,0)

(C) (-2,0) \ and \ (3,0)

(D) (-2,0) \ and \ (-3,0)

Thanks for your quick response!!

Which of the following is the vertex of the parabola y=2(x+2)^2-7?

(A) (2,-7)

(B) (-2,7)

(C) (-2,-7)

(D) (2,7)

Thank you very much for you quickly answer!!:)

The operation @ is defined as a@b=(a+b)^2-a. Which one of the following is the result of a@a@a?

(A) 4a^2-a

(B) 16a^2-a

(C) 4a^4-a

(D) 16a^4-a

Thank you for your quick reply!;)

Which of the following is the domain of the function f(x)=log_{x-2}(x^2-4)?


(A) x \neq3

(B) x>2

(C) x>2 \ and \ x \neq3

(D) x>0 \ and \ x \neq3

thanks for your answer!;)