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Find the inverse function of f(x)=5/(x-4)

f(x) = 5/(x-4)To find the inverse, replace f(x) with y: y=5/(x-4)Now the aim is to make x the subject of the equation:Multiply both sides by x-4:y(x-4)=5Divide by y:x-4=5/yAnd finally add 4:x=5/y + 4

KM
Answered by Katy M. Maths tutor
5431 Views

Solve 5x - 2 > 3x + 11

Collect x terms together by moving them over the greater than sign to have 5x - 2 - 3x > 11 (moving terms is the same as with an equals sign, if it is positive on one side it will be negative on the ot...

Answered by Maths tutor
3464 Views

ABC is a triangle with sides of length AB, 12m and BC,14m. Angle ACB = 43 degrees. Find the area of the triangle.

Use of the Sine Rule to ultimately work out the area of a triangleA/SinA = B/SinB14/Sin43 = 12/SinX14SinX = 12Sin43SinX = 12Sin43/14X=InverseSin(12Sin43/14) = 35.77-There are 180 degrees in triangle. Ther...

EC
Answered by Eoin C. Maths tutor
3370 Views

Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8

Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into...

AW
Answered by Alex W. Maths tutor
3501 Views

Solve 4x + 10 = 18

4x + 10 = 18
4x= 18-10
4x= 8
x=8/4
x=2

KW
Answered by Katherine W. Maths tutor
3844 Views

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