Use f (z) - Vz-Iand g (z) = 5z to find g(f (z)): %3D %3D O 5E -1 05+ Va-1 5x-1

Q: Find the domain of f(x) = Vx + 3 + Vx - 1.

A: Given that the function f(x) = x+3 +x-1 To find the domain of f(x).

Q: If y = 5(1 - e-2x), compute y and show that y = 10 - 2y.

A: To compute y'

Q: f(x) = Vx+9– 10.

A: We can solve the given problem using concept of function.

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 f(x) = - 4x- 1, h(x) = -x- 4. = -x-4. %3D Find (f o h)(- 5). (f o h)( – 5) = | 19 o

A: Here given as fx=-4x-1, hx=-x-4 Now  fohx=fhx=f-x-4=-4-x-4-1=4x+16-1=4x+15

Q: Evaluate f +3 /1+x4 3 dx.

A:

Q: Find f(7) if f(x) = 5x – 1.

A:

Q: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: Derive the following function (x² + y³)6 + 6x²y³ = 3y %3D

A:

Q: Use the functions, f (x) = 2x + 3 and g(x) = –x² + 5x and h(x) = x + 4 to find f (g(h(x))). %3D %3D

A: Given : f(x) = 2x + 3g(x) = -x2 + 5xh(x) = x + 4

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

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:

A: Given,       x-x=

Q: Vhich function is equivalent to y = 2(r + 3)+52 %3D Oy = 2r + 14 Oy = 2x + 12a + 23 Oy = 2x + 12r+…

A: y=2(x+3)2 +5

Q: Specify the symmetry of the following functions: 10 (d) 0(x1, x2) = e-l#il X2+3

A: We need to find the symmetry of the function in part (d). We know that a function f is symmetric if…

Q: Evaluate (f− g) , (1) and (3f + 2g) , (1), assuming that f , (1) = 3 and g , (1) = 5.

A:

Q: Let f(x):4x1 and gx):3x+x find the Value of X for Which (fog) (x)=(30f)x

A:

Q: x = (1- y)*(3y +1) ;y"

A: Answer is given in next step.

Q: c. f(x) = v4x + 5 when x = 5 %3D d. f(x) = {2x S4x2 +8 x s 5 x > 5 when x = 5 %3D

A: From the given problem: (a). fx=x2+4x+10 Now find the value of function value at x=3. f3=32+43+10

Q: 2dx x √x² 3√x² 2

A:

Q: The domain of function x) = In(2– x) is %3D

A:

Q: dx (b): Evaluate the Jo (1+x)(2+x)/x(1-x)

A:

Q: 3 ν1+ x2 χdx

A: ∫fxnf'xdx=fxn+1n+1,n≠-1

Q: If f(x)= 3x – 4 and g(x)= 7– x² , find: %3D f(x) + g(x)

A: