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Why does a 'many to one' function not have an inverse?

Because its hypothetical inverse would be 'one to many' which is not a function. This is because a single x-value would map to several y-values at the same time.
RK
Answered by Roy K. • Maths tutor
18963 Views

Show that (x-2) is a factor of 3x^3 -8x^2 +3x+2

The factor theorem states that a polynomial f(x) has a factor (x-k) if and only if f(k)=0. f(2) = 3(2)^3 - 8(2)^2 + 3(2) + 2 = 3(8) - 8(4) + 6 + 2 = 24 - 32 + 8 = 0. ==> (x-2) is a factor.
SO
Answered by Samantha O. • Maths tutor
6413 Views

Prove that the squared root of 2 is an irrational number

Let's start by assuming that the squared root of 2 is a rational number and will prove it is irrational by contradiction.If srqt(2) is rational then it can be represented by an irreducible fraction. Let this...
RN
Answered by Raul N. • Maths tutor
5279 Views

prove that lnx differentiated is 1/x

let y = lnx therefore e^y = x then differentiating both sides we get: dy/dx (e^y) = 1 dy/dx = 1/(e^y) and as e^y = x dy/dx = 1/x when y = lnx
Answered by • Maths tutor
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Find the coordinates of the point of intersection of the lines 2x + 5y = 5 and x − 2y = 4.

Rearrange both equations to make y the subject:2x + 5y = 5 rearranges to y = -2x/5 + 1 and x - 2y = 4 rearranges to y = x/2 - 2Equate both the rearranged equations and solve for x:-2x/5 + 1 = x/2 - 2x = 10/3...
EO
Answered by Ethan O. • Maths tutor
4489 Views