LET b₂= SHOW THAT faxi) - faxo). (x₂-xo) f (x₂) - fcxo)_ _faxi) - faxo) (x₂-x₁) (x₂-x₁) (X₁-Xo) X₂-Xo f(x₂)-f(x₁) f(x₁)-f(x) X₂-X1 Xì Xo b₂=- XzXo

Q: For the function f(x) = !!x2 + 3 find f -1(x)

A: the given function isf(x)=x2+3to find f-1(x)

Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: Xx) = x2, g(x) = x-8

A:

Q: Consider the following. f(x) = 8x – 3, g(x) = 1 - x Find (f - g)(x). The difference of two…

A:

Q: Let a = (-2,3, –4)" , y = (3,-2, -5)". (a) Find ||a||1. (b) Find ||a||2- (c) Find ||y||o-

A: Given Information -  x = -23-4  and  y = 3-2-5We have to find the following - (a) x1(b) x2(c) y∞…

Q: USE +¹ (f(x)) =X a] if yinv b] the value of the value of d] f (3) if 3 = f¹ (2) 1 √x-7 to inv…

A:

Q: Given the functions f(x) = x? - 3 and g(x) = 2x + 1, find... a) f(g(x)) b) g•f(x) c) d) gog(x) e)…

A:

Q: Given the functions f (x) = 3x + 5 = (x) 6 g (x) = 4 – x2 and h (x) = = 1 *, find each of the -…

A:

Q: un 5 (2) = 2² - 82 and 9(2) = {-2₁" 22-5 x-1, x Evaluate(f/g) (7)

A:

Q: iven F(X) = 4X+3, 9(x)= X²-5 evaluate (90F)(1)

A: Given,  f(x)=4x+3, g(x)=x2-5

Q: giver yn f(५) ५) -2x + 3, + 2, find of ax

A:

Q: Given f(x)=x + 2 and g (x)= 4-x^2 , find the following 1) (f*g)(x) 2) (g*f)(x) 3) (g*f)(-2)…

A:

Q: What is the end behavior for this equation? f (x) = - (x+3)² +1 As x-∞, f (x) →→→→→∞, and as →→→∞, f…

A:

Q: you

A: Topic:- function

Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

A:

Q: find (f+g)(x) (f-g)(x) (f•g)(x) (f/g)(x) and their domains

A:

Q: Find y" of y=- y" = y" = O y" = y" = X-1 2 (x-1)² 2 (x - 1)³ 1 (x - 1)³ -2 (x - 1)³

A: Topic = Derivative

Q: In(x) - 6x² In(x) = -5 ln(x)

A: Given that the equation is:

Q: Let f(x)=2x+3 and g(x)=x+√x+2 Find f+g   (f*g)(x)

A: Given function is f(x)=2x+3 and g(x)=x+√x+2

Q: for f(x) = (x-1)3 and g(x) = 1 - 4x, find the following  a) (f o g)(x) b) (g o f)(x) c) f(f(x))…

A: (fog)(x) = f[g(x)].

Q: If f(x) = x+5 , g(x) =x2-3 Find the following a) f(g(0)) b) g(f(0)) c) f(g(x)) d) g(f(x))

A:

Q: 36- let gix).x-x and hlx)acosx find! 1- 3.

A:

Q: Q2. Consider the subspace W of R' spanned by the vectors: wi = W2 = , W3 = W4 = 4 0. 1. Are the…

A: Here for third part, you can also make an augmented matrix containing first three vector as…