(1 pt) Find a formula for the composite function (fogh)(x) if f(x) = tanx, g(x) = x x-1 and h(x)=√√x+1. /x+1 tan Answer: (fogoh)(x) = √√x+1-1

Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no solution exists - enter "DNE". If there is more than one solution, enter your answer as a comma-separated list (like "1, 3"). You may find it helpful to rewrite the numerator or denominator in a different form to help you complete some of the parts. Determine the vertical intercept of ff. f(0)=f(0)=    Determine the zeros (or "roots") of ff. x=x=    Determine the vertical asymptote(s) of ff. x=x=    Determine the horizontal asymptote of ff. y=y=

Differentiate the function f(x) =x*(1– 4x?)3. Express your answer in simplified, factored form.

Is f(x)=2/x-7 one to one

The hypotenuse of a right triangle has one end at the origin and one end on the curve y = = √√√x. X Express the area of the triangle as a function of x. A(x) =

5. Simplify the difference quotient la+h)=/(@) for the function f (x) %3D Use h 3x+4 correct notation.

find an explicit formula for f' and use it to graph ff and the line y=x on the same Screen. To check your work. See whether the graphs of f&f" are reflections about the line 29) f(x)√4x+3

Find f(x) and g(x) such that for f(g(x)) = h(x) for a) h(x) = square root of 3^x-87 b)h(x)= 2/ ln (x+5)  c) h(x)= (x-3)^5 + square root of x-3 2. Which of the following can be written as a power function? Justify your answers. a) 5/2x b) square root of x-4

Consider the following functions. f(x)= 1/3x^2-3/4x g(x)=1/2x+5/6 h(x)=1/4x^2-5/8x+2/5 Part a. Amarion wants to determine f(x)-g(x)-h(x) . His steps are shown below, but he made a mistake.In which step did he make a mistake and what was the mistake?Amarion made a mistake inStep 1:(1/3x^2-3/4x)-(1/2x+5/6)-(1/4x^2-5/8x+2/5) Step 2: (1/3x^2-5/4x-5/6)-(1/4x^2-5/8x+2/5) Step 3: 1/12x^2-15/8x-13/30part b. becausea. he did not distribute the -1 to all termsB. he did not get a common denominator for all the termsC. he did not change the exponents when combining like terms