Find the following for the function f(x) =x/x^2+1 (a) f(0) f(5) f(minus5) f(minu
ID: 3425945 • Letter: F
Question
Find the following for the function f(x) =x/x^2+1
(a) f(0)
f(5)
f(minus5)
f(minusx)
minusf(x)
f(xplus+1)
f(4x)
f(xplus+h)
(a)
f(0)equals=nothing
(Simplify your answer. Type an integer or a simplified fraction.)
(b)
f(5)equals=nothing
(Simplify your answer. Type an integer or a simplified fraction.)
(c)
f(minus5)equals=nothing
(Simplify your answer. Type an integer or a simplified fraction.)
(d)
f(minusx)equals=nothing
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
(e)
minusf(x)equals=nothing
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
(f)
f(xplus+1)equals=nothing
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
(g)
f(4x)equals=nothing
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
(h)
f left parenthesis x plus h right parenthesisf(x+h)equals=nothing
(a) f(0)
(b)f(5)
(c)f(minus5)
(d)f(minusx)
(e)minusf(x)
(f)f(xplus+1)
(g)f(4x)
(h)f(xplus+h)
Explanation / Answer
given f(x) =x/(x^2+1)
a)f(0)= 0/(0^2 +1)
f(0)=0
b) f(5) =5/(5^2+1)
f(5) =5/(25+1)
f(5)=5/26
c)
f(-5) =-5/((-5)^2+1)
f(-5) =-5/(25+1)
f(-5)=-5/26
d)f(-x) =(-x)/((-x)^2+1)
f(-x) =-x/(x^2+1)
e)f(x)=-x/(x^2+1)
f) f(x+1) =(x+1)/((x+1)^2+1)
f(x+1) =(x+1)/(x^2+2x+1+1)
f(x+1) =(x+1)/(x^2+2x+2)
g)f(4x)=4x/((4x)^2+1)
f(4x)=4x/(16x^2+1)
h)f(x+h) =(x+h)/((x+h)^2+1)
f(x+h) =(x+h)/(x^2 +2xh+h^2+1)
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