5) Given f(x) = 5x – 2 and h(x)= 3x² – 4x + 12, a) Find f(x) – h(x) b) Find [f(x)]? c) Evaluate h(3) + f(-2)

Q: 3. Given that f(x) = 3x +3 and g(x) = 2x -6. Determine g[f(x)] %3!

A:

Q: 12. What is f( + 1) if f(x) = –4x +17a-3x 4? O 4 -4x 17a2-4x O 4a 5 19x 6 | -4x 21a2 - 3x 6 -4 +…

A:

Q: Find the particular solution determined by the given condition 314 f'(x) = 3x -6x; f(1) = -6 II

A:

Q: 7. When the function f (x) = 6x* + 11x – 22x² + ax + 6 is divided by (x+1), the remainder is -20.…

A:

Q: F(x)=2x^3 and g(x)=-3x^2 +1, Find a)(fog)(1) b)(gof)(-1) c)(fof)(2) d)(gog)(-2)

A:

Q: If h(z) = 2x2 - 3r +1, what is h(-2)?

A:

Q: snip

A: Given polynomial function is: fx=x7+6x5-x4+x+2 We will check whether 23 is a zero of f(x).

Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

A:

Q: s x−1 a factor of f(x)=4x^3−8x^2+8x−4​?

A: Given: To find whether x−1 is a factor of f(x)

Q: 17. 5. If f(x) = 3x² – 7x + 12, find Simplify! h f()=

A:

Q: snip

A: To determine whether 13 is a zero of fx=4x3-5x2-3x+1. Solution: Factor theorem states that if x-a is…

Q: 2. If f (2) = 10 and f' (x) = x²f (x) for all x, find f"(2).

A:

Q: 15.f mOT-(27+ 3)', mRT- (9x – 5)" and MRST - (10x-2), find mi.

A: Given,         QT⏜=27x+3° , RT⏜=9x-5° and ∠RST=10x-2° .

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

A:

Q: 16) If x = 5y-3 and y = -2a3, express x in terms of a.

A:

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

A:

Q: Find all critical numbers of f (x) =8r³+39x²+ 18r– 4 (A -3, -

A: We have f(x) = 8x3+39x2+18x-4To identify the critical values, we differentiate and find values of x…

Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

A:

Q: Let h(x)=−2x2+x+4x2+4x−1, what is h′(−5)?

A:

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

A:

Q: Show that the function f(x)= x^3 − 15x + 1 has three zeros in the interval [−4, 4]. Do not solve for…

A: The given function is f(x)=x3−15x+1The interval is [−4, 4].To show that f(x) has three zeros in this…

Q: f(x) = e 6x +7 In (7x- 9)

A:

Q: . What is F(/3) if C = 0?

A:

Q: 3. For f(x) = 15x²-3 16x²+9x+8 As x → ∞, y → || As x →∞, y →

A:

Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

A:

Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: 30x +31x2 - 25x 6 Ehe domain of f(x) = \ 1213 59r2 11la + 30

A: Given function is fx=30x3+31x2-25x-612x3-59x2-11x+30.

Q: Prove that x -2x+2>0 for value of x.

A:

Q: 4. In x2 -4x + 4 - b2 = 0, find the value of x. %3D

A: Topic:- algebra

Q: The value of x which satisfy 3x + 1| < - is : 5.

A:

Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (b) Show that xE R, x2 - 4x + 5 > 0.

A: As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: How did you get g= -3 and f=2 in the first given? Kindly show solution

A:

Q: B. Qurfient Rule ) f x)= x² 3x²

A: fx=x3-3x2x

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: Date ! الموافق find the equatlon F(X) 4x + 6 X- 6x -5 ab 2 2 F(X)_4x?

A: The given function is:f(x)=4x2+6x2-6x-5To find the equation of tangent line at x=-6

Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: 4. For f(x) = 3x² + 5 and g(x)=7x-2, %3D %3D

A: answer is in next step

Q: Show that for r=1x1 XER³, > A( 7 ) = 0 we have when 1x1=1 #0

A: Laplacian operator

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

A:

Q: 8. How many times is x= 1a root of f(x) = 2x -7x + 9x -5x +1? How do you know?

A: Solution :-

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

A:

Q: Eliminate the arbitrary constants of: x^2=Axy+By

A:

Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1…

Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

A:

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

A:

Q: Sınx SecX - Sen xcsc x ta n x-

A: Let the trigonometric identity given in the question be, sinxsecx-sinxcosecx=tanx-1. Some of the…