If  f(x) = 4x2 − x3,  find  f ′(x),   f ″(x),   f ‴(x),  and  f (4)(x)

Q: If  f(x) = 3x + 1  and g(x)=4/x.find f(g(x)) and g(f(x)).

A: Given f(x)=3x+1 and g(x)=4x we have to find f(g(x)), g(f(x))

Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: f(x) = xe-2x

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: If f(x) = x + 4 and g(x) = 4x − 1,  Find (f ∘ g)(x)

A:

Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

A:

Q: If f(x) = x3 + 1, then give the following

A: Consider the function: fx=x3+1

Q: Find f(7) if f(x) = 5x – 1.

A:

Q: Let f(x)=x+2x+9f−1(−8)=

A: The given function is

Q: If f (x) = √(x - 1), find f (1), f (5), f (13), and f (26).

A: Given that the function f (x) = x - 1 To find f (1), f (5), f (13), and f (26).

Q: If f(x) = x and g(x) = x + 2, find (fo g)(x) and (g o)(x).

A: f(x)=x2 and g(x)=x+2

Q: If f(x) = x2 + 3x - 1, find:

A: Given:fx=x2+3x-1fa+h-fah

Q: Find f−1(x) for f(x)=11+12x.

A:

Q: If f(x) = x + Vx + 5, find all values of x for which f(x) = 7.

A: Given, fx=x+x+5 and f(x)=7

Q: F(x) Vex-uz 81 -9X

A:

Q: If f(x) = 3 − 4x, find  f −1(−25)

A:

Q: If f(x) = 3x – 2, find f(a + 4).

A: Given : fx = 3x-2

Q: If g(x)= 3x²-1 and h(x)= 5x+2, which function will give (goh)(x) ?

A:

Q: If f(x) = x2 and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).

A: Find f∘gx as shown below: f∘gx=fgx              =fx+2              =x+22              =x2+4x+4