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Find the inverse of f(x) = (3x - 6)/2

First, imagine that f(x) is written as y: y = (3x -6)/2 swap the variables over so you write y as x and x as y: x = (3y - 6)/2 Next, solve for x (try and get the y on its own on the right hand side) 2x = 3y ...
AB
Answered by Arantxa B. • Maths tutor
11434 Views

Find the cartesian equation of a curve?

A curve has parametric equations: x = 2 + t 2 y = 4t Find the cartesian equation of this curve. A cartesian equation of a curve is simply finding the single equation of this curve in a standard form where xs...
JF
Answered by James F. • Maths tutor
171154 Views

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 terms of x f(x)^-1 = (x-4)/7 w...
JS
Answered by Joe S. • Maths tutor
14670 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 strategy
JS
Answered by Joe S. • Maths tutor
8129 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 values into one of the equations (or both, just to double-che...
DA
Answered by Damilola A. • Maths tutor
10688 Views