Given f(x) = (3x+1)/(x-3),find and write in simplest form:(a) f(f(b))(b) [f(x)-f(a)]/(x-a)

来源：学生作业帮助网 编辑：六六作业网 时间：2024/05/15 16:38:45
Givenf(x)=(3x+1)/(x-3),findandwriteinsimplestform:(a)f(f(b))(b)[f(x)-f(a)]/(x-a)Givenf(x)=(3x+1)/(x-

Given f(x) = (3x+1)/(x-3),find and write in simplest form:(a) f(f(b))(b) [f(x)-f(a)]/(x-a)
Given f(x) = (3x+1)/(x-3),find and write in simplest form:
(a) f(f(b))
(b) [f(x)-f(a)]/(x-a)

Given f(x) = (3x+1)/(x-3),find and write in simplest form:(a) f(f(b))(b) [f(x)-f(a)]/(x-a)
(a) f(f(b))
f(b)=(3b+1)/(b-3)
f(f(b))=
f[(3b+1)/(b-3)]
=[3(3b+1)/(b-3)+1]/[(3b+1)/(b-3)-3]
=[(9b+3+b-3)/(b-3)]/[(3b+1-3b+9)/(b-3)]
=[10b/(b-3)]/[10/(b-3)]
=b
(b) [f(x)-f(a)]/(x-a)
=[(3x+1)/(x-3)-(3a+1)/(a-3)]/(x-a)
=[(3x+1)(a-3)-(3a+1)(x-3)]/(x-a)(x-3)(a-3)
=[3ax-9x+a-3-3ax+9a-x+3]/(x-a)(x-3)(a-3)
=-10(x-a)/(x-a)(x-3)(a-3)
=-10/(x-3)(a-3)

全部带入化简即可。
第一题f(b)=(3b+1)/(b-3)
那么把f(b)带入f(x)中即可，也就是f(b)=x带入到原式中。
第二题同理，全部带入化简

a.f(b)=(3b+1)/(b-3)
f(f(b))=[(10b)/(b-3)]/[10/(b-3)]
=b
b.f(x)-f(a)=(3x+1)/(x-3)-(3a+1)/(a-3)
=(3ax-9x+a-3-3ax+9a-x+3)/[(x-3)(a-3)]
=(10a-10x)/(ax-3a-3x+9)
[f(x)-f(a)]/(x-a) =10/(3a+3x-ax-9)

(a) f(b)=(3b+1)/(b-3),f(f(b))=b
(b) f(a)=(3a+1)/(a-3),f(x)-f(a)=(10a-10x)/(x-3)(a-3)
[f(x)-f(a)]/(x-a)=-10/(x-3)(a-3)

Given f(x) = (3x+1)/(x-3),find and write in simplest form:(a) f(f(b))(b) [f(x)-f(a)]/(x-a) given that f(x)=2x-3,find the value of f(x+h). 1.given the function f(x) = x*2 -4x -5,find the values of:a) f(k-2) b) f(x*2) - x*2 f(1)2.given two functions f(x) = x*2 -3 and g(x) = 3x-4,find the values of:a) f(k+1) -g(k-1) b) f(g(x)) c) g(f(x))3.let f(x) = 1/1-x,finda) f(f(x)) b) f(f(f(x))) c) f 一道高数题 Find A and B given that the function f(x) is differentiable at x=1f(x)= x^3 (x1) Given (f+g)(x)=10-3x and (f-g)(x)=5x-14,find f(x) and g(x). It is given that f(x-1)= -2(x-1)^3 + (x-1)^2 +x-1 and g(x)=2x^3 - x^2 - x +k.If..It is given that f(x-1)= -2(x-1)^3 + (x-1)^2 +x-1 and g(x)=2x^3 - x^2 - x +k.If the graph of y= g(x) is obtained by translating the graph of y=f(x) upwards by 3 units,an Find and write in simplest form :Given f(x) = 1/x(a) f(f(b))(b) [f(x) - f(a)]/(x-a)(c) [f(x+h) - f(x)]/h 英语翻译1.determine whether or not the given function has the set of all real numbers as its domain :f(t)=根号下(1-x)2.determine the domain of the given function:f(x)=X的三次方-3x的平方+2x+53.find the difference quotient of f; namely,[f Let f be the function with derivative given by f'(x)=sin(x*x+1).How many relative extrama dose f have on the interval 2 The function f is given by the formulaf(x)=(6^3+31x^2+14x+45)/(x+5)when x the function f given by f(x)=9*x^(2/3)+3x-6 has a relative minimum at x=?a.-8 b.-2^(1/3) c.-1d.-1/8 e/0the function f given by f(x)=9*x^(2/3)+3x-6 has a relative minimum at x=?a.-8 b.-2^(1/3)c.-1 d.-1/8 e.0 1.given the function f(x) = 2x*2 +5x -7,find the values of:a) f(-2) b) f(4) c) f(x*2) d) (f(x))*2 e) f(x*2) -xf(x)2.let f(x) =1/2 (2*x (符号是二的x次方) +2*-x (二的-x次方))show that for any real values of x and y,f(x+y) +f (x-y) = 2f(x)f(y 一道高级数学题GIven f(x)=px-6/x and if f(-3)= -4 p=?怎么找阿?越详细越好. 已知f(x)满足2f(x)+f(1/x)=3x,求f(x) F(X)满足F(x)+2f(x分之1)=3X,求f(x) 已知f(x)满足2f(x)+f(1/x)=3x,求f(x)? 已知f(x)满足2f(x)+f(-x)=-3x+1,求f(x) 已知f(x)满足f(x)+2f(1/x)=3x,求f(x) ,