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Solve 7x+6 > 1+2x

To solve this inequation:1) Group all the exes in one side and the numbers in the other one... 5x > -52) Solve x... x > -13) Result: (-1, ∞ )
PC
Answered by Patricia C. • Maths tutor
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f(x) = 5 – x and g(x) = 3x + 7 (a) Simplify f(2x) + g(x – 1)

May look hard at first but once understood is simple.Question is asking to add two functions together.Firstly we begin by calculation f(2x) We know that f(x) = 5 – x, to find f(2x) we replace the x by 2xThis...
MB
Answered by Matthew B. • Maths tutor
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Write x^2+4x-12 in the form (x+a)^2+b where a and b are constants to be determined.

This method is known as completing the square. To find the constant a, we must halve the coefficient of x, which in this case is 4. This is to compensate for the double term when expanding the brackets. So a...
PG
Answered by Priya G. • Maths tutor
6799 Views

A curve (a) has equation, y = x^2 + 3x + 1. A line (b) has equation, y = 2x + 3. Show that the line and the curve intersect at 2 distinct points and find the points of intersection. Do not use a graphical method.

a) y = x 2 + 3x + 1b) y = 2x + 3At points of intersection (a) = (b).2x + 3 = x 2 + 3x + 1Note this is a quadratic expression which will solve for 2 unique solutions, providing the discriminant (b 2 - 4ac, wh...
JC
Answered by Joseph C. • Maths tutor
5126 Views

Find the inverse of: f(x) = (2x + 3)/(x - 4)

To find the inverse of a function, f -1 (x):1) set f(x) as y: y = (2x + 3)/(x - 4)2) swap x and y: x = (2y + 3)/(y -4)3) solve the new equation for y: x(y -4) = 2y + 3 = xy -4x2y - xy = -4x - 3y(2 - x) = -4x...
SI
Answered by Sophie I. • Maths tutor
5680 Views