let f(x)=square root of 3x+9 g(x)=square root of x u=3x+9 thus f(x)=g(u) g'(u)=???????????????/

Q: What happens to the values of h(x)=(x2 +2x-15)/(x2 -9) as x- > 3?

A: Our objective is to find the limit

Q: Given f(x)=x^2+5x+4

A:

Q: The graph shown most accurately represents which of the following functions? 6. 7 9. 5 7 8 9

A:

Q: Find f-1(x) f(x)=(ex+1)/(2-ex)

A: To find the inverse of the given function

Q: Find F"( F(X) = (x ² + 9

A:

Q: show that 1f ∘ g2 (x) = 1g ∘ f2 (x) = x.

A: The given functions are fx=9x-6  and   gx=19x+6. This implies that, f∘gx=fgx=f19x+6=919x+6-6=x+6-6=x

Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

A:

Q: When f-1(x)=(4x-3)/(x-2), what is f(f-1(x))?

A: Given inverse of the function is

Q: Find the fifth derivative of (2x+3)5

A:

Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

A: Given: fx=-9x2-75-9x2+2-12. To be find: expression for f'x. Formulas used:…

Q: (g) f(x) = x³ sin² (4.2³)

A:

Q: If y=(X+3)(X-5)^7 then find y`

A:

Q: of f (x) = 1³ + 2z² + 3x + 6?

A:

Q: f(x) = (-8x²9)³(-9x²-4)-12

A: we will find the required.

Q: Find the derivative. y = (3x − 3) (3x + 9) None of these 18x² +18x - 81 09 O 18x³ + 18x² - 81x 18x -…

A: The given function is

Q: 7- Differentiate Y= f(g(x4)) h³(√x)

A:

Q: If f(x)= x^2 − 4x − 1  find the following. (a) f(x+a) =  (b) f(a) = (c) f(x+a)−f(a) = Note x^2…

A: Given that:f(x)=x2-4x-1

Q: 5. find the derivative 2x (7) + 6x (7) - 2x (²) + 210 Enter your answer

A:

Q: Find (f-1)'(9) if f(x)=x3+x-1

A: To detemine the value of the derivative of the inverse function at the given point

Q: If f(x)=x^2−2 and h(x)=4x+5, then f(h(3))=       7     15     119     287     33

A:

Q: When applying derivative rules, we sometimes need to rewrite our function. In this problem, you are…

A:

Q: Find F (x) Fx)sinor)

A: Consider the given function

Q: Let f(x) 14x + 10 f(z) =

A: Given function :

Q: The derivative of f(x) = (2x - 1)/(x2 + 1) is (-2x² + 2x + 2)/(x4 + 2x² + 1) Select the correct…

A: Derivative of the function

Q: suppose f(x)=3/x^2-5x+6 and g(x)=8/x^2-2x  simplify f(x)−g(x)=

A: See the attachment