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f(x)=ln(3x+1), x>0 and g(x)=d/dx(f(x)), x>0, find expressions for f^-1 and g

f^-1(x)=(e^x-1)/3 g(x)=3/(3x+1)

GK
Answered by George K. Maths tutor
4002 Views

A line has equation y=3x+4, state the gradient and the y-intercept

The gradient is always the number in front of the x, in this case it will be 3. Whereas for the y-intercept, it will always be the value that y equates to when x=0, in this case the y-intercept is (0,4).<...

RF
Answered by Ryan F. Maths tutor
28153 Views

Multiply (x+2) & (x+3)

To do this question you would use the FOIL method. This is short for 'First, Outside, Inside, and Last'. First you multiply the first two values (the x's) from each bracket, then you multiply the outside ...

RF
Answered by Ryan F. Maths tutor
2842 Views

Integrate y=3x+2 with respect to x between the bounds x=5 and x=0, and state the physical significance of this.

47.5 units^2The area underneath the curve bound by the axis being integrated with respect to (i.e. x axis)

HW
Answered by Harry W. Maths tutor
2837 Views

Make a the subject of the formula f=(a+1)/2

2f-1=a

BG
Answered by Berin G. Maths tutor
9083 Views

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