9. Given the function f(x) = 3x +1 (a) Find f(2) (b) Find f(a +1) (c) For what r is f(x) = 2? %3D (d) Find the y-intercept

Q: (b) Find f-¹(y) for f(x) = √²-1.

A:

Q: 8. Given f(x) = -4x5-3x3 + 4x² -7, use synthetic substitution to find f(-3). %3D

A:

Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

A:

Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

A:

Q: If ​f(x)= 2x2 −5x+3​, find f′(3).

A: To find f'(3)

Q: b) f(x)=2*² +3. x- intercept: y-intercept: Domain: Range: f(-1) = f(5) =

A: First make graph  .then answer the following questions.

Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

A:

Q: Find the concavity and point of inflection of y= x 2/ 3 + x2

A:

Q: f(x) = -(x + 1).

A:

Q: Find the relative extreme values of the function f(r) =-- 6r + 5. %3D

A: f(x)=x33-x22-6x+5f'(x)=x2-x-6x2-x-6=0x=3,-2For -∞,-2, f'(-3)=6>0For -2,3, f'(1)=1-1-6<0For…

Q: Consider the function y = f(x) = 4x2+2x+7. Using only the table method, estimate f ′(2)

A: estimate  f'(2) =18

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: Find the value of C if f ′ (x) = 2x2 and f (4) = 5

A: Given,    f ′ (x) = 2x2 and f (4) = 5

Q: Given f(x) = ax³ + bx² + 9x + c. Find a so that (2,3) is a point of inflection of the graph of f and…

A:

Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

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

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: 3. For the function f (x) = 4x2 – 25, a) find f(-1) - %3D %3D b) find all x when f (x) = 0

A:

Q: If f (x ) = 2r -1/2 then f(x) equals ?

A: The solution is given below.

Q: f(x) = x2 + x − 7 y-intercept x-intercept

A: Topic = Coordinate geometry

Q: Find the domain of the function f(x) = V-a? 3x + 4

A:

Q: Find f(x) or y in terms of variables x+2y+y²=3x-x²+5

A: To find y rearrange the y terms to the left and x terms to the right of the given equation.Then…

Q: 1 f (x) = Зх — 4 3x

A:

Q: c) Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D

A: Newton's forward difference interpolation formula is, y(x)=y0+pΔy0+ p(p-1)2!    ⋅Δ2y0+  p(p-1)p-33!…

Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below