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Maths
GCSE

Find f^-1(x) for the following equation: f(x) = (12+x)/3

f-1(x) is equivalent to the inverse of the function f(x). To solve the inverse of a function, a series of steps must be followed:
1) Write out the equation x = f(y)
T...

BW
Answered by Bethany W. • Maths tutor
3057 Views

Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x2+y2=25; y-3x=13; x2+(13+3x)2=25; x2+9x2+78x+169=25; 10x2+78x+144=0; 5x2+39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7...

NC
Answered by Nadia C. • Maths tutor
2829 Views

The equation of the line L1 is: y = 5x-4. The equation for line L2 is 2y-10x+16 = 0. Show that these two lines are parallel.

L1: y=5x-4L2: 2y-10x+16=0. Rearranged: 2y=10x-16, y=5x-8 The coefficient of x is the same in both equations when expressed in standard format (5), therefore the lines are parallel.

AW
Answered by Alfie W. • Maths tutor
4758 Views

Solve x^2+4x-5=0

Two approaches.1.Note that the equation is a quadratic equation, and can thus be solved per the quadratic formula, in which the solutions are given to be (-b+-sqrt(b^2-4ac))/2a.Plugging in the values from...

SH
Answered by Samuel H. • Maths tutor
3862 Views

Solve the equation: x^2 +8x + 12 = 0

This is a classic GCSE-style equation :)
1) Always write out the original equation for clarity (and so that you don't have to look back at the question constantly) :)x^2 + 8x + 12 = 02) Notice that t...

OU
Answered by Obaid U. • Maths tutor
5020 Views

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