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Find the inverse of f(x) = 7x+4

To start make the equation equal y.
So y = 7x+4
Then rearrange the equation to make x the subject.
Subtract 4 from both sides: y-4 = 7x
Divide by 7: (y-4)/7 = x
Now write it in te...

JS
Answered by Joe S. Maths tutor
14186 Views

What is a stable solution and what is dominance?

A stable solution is where neither player should move from their playsafe strategy, as it will only cause a decrease in profit.
Dominance is where one strategy is in every way better than another str...

JS
Answered by Joe S. Maths tutor
7866 Views

Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6

Factorise the quadratic: (4x + 3)(x - 2)

x = -0.75

x= 2

Now substitute these...

DA
Answered by Damilola A. Maths tutor
10452 Views

How do we differentiate y=a^x when 'a' is an non zero real number

Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(ax) ln(y)=x(ln(a))    using our rules of logsFrom here we differentiate. T...

MJ
Answered by Marcus J. Maths tutor
8269 Views

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x2+8x+(m-7)=0From here we can see it takes the form ax2+bx+...

MJ
Answered by Marcus J. Maths tutor
5203 Views

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