=1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: Find f′(9) if f(x)=7x2 +5x+5/ √x

A: To find f'(9) , initially we have to find f'(x) from the given f(x) then substitute x=9 in the…

Q: Calculate f""(−1) for f (x) = 3x5 − 2x2 + 7x−2.

A:

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: f(X) = 2/X       g(X) = X+1/9     (What is the domain?)

A:

Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

A:

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

A:

Q: Consider the following function. f(x) = 5x/7^√2x+5 (a) State the domain of the given function using…

A: The given function is: fx=5x72x+5. To Do: (a) State the domain of f(x) using interval notation. (b)…

Q: 5) For functions f (x) = x² – 15x + 45 and g(x) = x - 9, find |(x)

A: f(x)=x2-15x+45, g(x)=x-9, (fg)(x)=?f(x)=x2-15x+45  g(x)=x-9  Now fgx=f(x)g(x)             [Quotient]

Q: If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number,…

A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: Let f(x)=x^2-6x+9. Find x such that f(x)=1 The solutions are nothing

A: First I have set the polynomial equal to 1  That is set,  f(x)=1 and solve for x, we get x=2, X=4

Q: The equation f (x) = x³ – 9x has a root in the interval [3,5] - O yes no

A: The given equation is fx=x3-9x. Evaluate the roots of the given function as follows.…

Q: Let f(x)=√6−x+5. Determine f−1(x) and the the domain of f−1(x). (the square root is only over 6-x)…

A:

Q: Determine whether f(x) approaches ∞ or −∞ as x approaches 4 from the left and from the right. f(x) =…

A: