7. Differentiate f(x) = (3x + x)² in three ways. When you have completed all three parts, show that your three answers are the same: (a) with the chain rule (b) with the product rule but not the chain rule (c) without the chain or product rules

Q: Find (f- g)(x) when f(x) = 7x - 8 and g(x) = 2x - 2. O A. - 5x +6 О В. 5х-6 ОС. 9х -10 O D. 5x - 10

A: fx=7x-8gx=2x-2To find:f-gx

Q: Use f(x) = 2x – 4 and g(x) = 5 – x² to evaluate the ex (a) (fo g)(x) -2x + 6 (b) (g o )(x)

A: To determine the solution of the expression.

Q: Let f(x) = x2 and get g(x) = 2x. Find the value of (g ∘ f)(x) (a) 48 (b) 36 (c) 72 (d) 144 (e) 18

A: In (gof)(x), input function is f(x) and output is g(x).  To find ( g o f )(x), one have to plug f(x)…

Q: Let f(x) = 3x2. Find f(3 + h). f(3 + h) = Find (3 + h) – f(3) h f(3 + h) – f(3) Compute f'(3) by…

A: Given; f(x)=3x2

Q: Find a. (f + g​)(x​)     b.​ (f+g​)(7​).   f​(x​)=3x2 - x- 5, g(x) = x – 1 ​   (f + g)(x) =…

A:

Q: Given f(x) = 4x + 8 and g(x) = x^2 + x; find (f∘g)(-5

A:

Q: Given F(x) = x² + 3x – 4, evaluate. %3D - F(-4)

A: Given,          Fx=x2+3x-4

Q: If g(t) = -3t3 , evaluate g(4t).

A:

Q: Let f(x) 2x + 4x + 4 and let f(3 + h) – f(3) q(h) Then q(0.02)

A:

Q: Let g(x) =-4x+5, Find g(3), g(0),g(-2) and g(b)

A: Given: The function gx=-4x+5, To find: The values of g3, g0, g-2 and gb.

Q: 6(t+2)=5(3t-4)

A:

Q: End bahavior of y=(x²-5)(x-1)²(x+2)³

A: Given function is y=x2−5x−12x+23. We have to find the end behavior  limx→∞y and limx→−∞y. Use…

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 6. f(h(-9)) 8. g(f(8))

A:

Q: If f(x) = x - 3x + 4 and g(x) = 2x – 5, find (fg)(-1).

A: We have to find fg-1 where it is given that: fx=x2-3x+4 and gx=2x-5 To find fg-1 we need to find fgx…

Q: x² If g(x) 4 simplify V1 + [g(x)]².

A: Given: gx=x24-1x2 To Find:  To simplify 1+gx2.

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: Let f(x) = 2x + 3x? + 5x + 5. Find f(3 + V2).

A:

Q: Let f(x) = 4x + 2 and g(x) 5x2 + 4x. After simplifying, (f9)(x) –

A:

Q: If ((x) 2 x f( 2). +3x-5, determine S(-2)

A: Topic = functions

Q: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: Determine the end behavior of the following function as x → –: 6x2 – 7x – 9 - t(x) - 3x4 – 2x3 |

A:

Q: Find f(12) - f(-12).

A: Given:f12-f-12fx=x+3        if  x≥58             if   x<5

Q: Find the inflection points of f(x) =x* +x° – 18x² +6. |

A:

Q: How can I differentiate 2xln(x) ?

A: We need to differentiate 2xsinx.To find the derivative, we should use tha following…