Given f (x) = a +1 and g (x) = 2x +3, find f[g(x)]. %3D %3D O A. fg(x)] = 2a2 + 5 O B. f9(x)] = 2a? + 4x + 5 O C.fg(x) = 4x2 + 12x + 10 O D. fg(x)] = 4x? + 6x + 9

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: If f(x) = (5x – 3)+/3, find f- (x)

A: We have to find inverse function

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

A:

Q: # 8 If f(x) = 2x2 + 3 and g(x) = - 3x - 6, find f(x) g(x). %3D es 4) A) 6x3 - 12x2 - 9x + 18 B) 6x3…

A: solution:-.

Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

A:

Q: h(x): = 2x and g(x) = x", find h(g(x)). Dô hót simipiny. O h(g(x)) = 2xa² O h(g(x)) = h(2x²) O…

A:

Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

A:

Q: Let g(x) = 2x and h(x) =x- 5. Find the following. %3D (g + h) 4 (g + h) (Simplify your answer.)

A: Simplification of function

Q: Graph the function

A:

Q: If f(x) = 5x+ 6-X, what is the ordered pair for x = 0 ? O (0,-1) O (0,10) O (6,0) (0,6)

A: Given that  f(x)=5x+6-x^2  To find the order pair at x=0

Q: Let f(x) = - 9x + 12 and g(x) = x2 + 6. %3D Find f(5) + g(5).

A: Given that f(x)=-9x+12.       and g(x)=x2 + 6 find f(5)+g(5)

Q: 8x2

A:

Q: 3x² – 36x² +33x = 3x(x² –12x+11) = 3x(x-11)(x-1) %3D %3D

A:

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

A:

Q: Differentiate the function. f(x) = 12x - 3+ 2x Select one: 4x4/3 +2 4x4/3 +2 4 - 3 4 +2 +2

A:

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: If f(x) = 3x3 + x. Find f () 6/8 O 5/8 O 7/8 4/8

A: From the given function: fx=3x3+x

Q: Let f(x) = 2- 4x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) - f(a) | for…

A: We use identity  (a+b)2= a2+b2+2ab

Q: If f(x) = x - 3 and g(x) = x² + 4, simplify (f g)(x).

A: We know, (f∘g)(x)=f{g(x)} Gvbhj

Q: Let f(x) = -3x² and g(x) = 2x – 6. Find and simplify_the following. | g(f(x)) = b. f(g(x)) =

A: f(x)=-3x2, g(x)=2x-6a) g(f(x))=g(-3x2)=2(-3x2)-6=-6x2-6g(f(x))=-6x2-6

Q: f f(x) =    x − 5  − 4x, find f(5), f(9), and f(14)

A: Givenf(x)=x-5-4x