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If f(x) = (3x-2) / x-5 x>6, find a.) ff(8) b.) the range of f(x) c.) f^-1(x) and state its range.

Firstly, ff(8) is the same as f(f(8)) so f(8) needs to be found first. Subbing in x=8 f(8)=22/3, so f(22/3) is required, Setting x=22/3 f(22/3)= 20/(22/3 - 5) = 60/7. so ff(8)=60/7.Next, as x tends to in...

EF
Answered by Euan F. Maths tutor
4243 Views

f(x) = (sin(x))^3. What is f'(x)

Write sin3(x) as sin2x*sinx and differentiate using product rule, u=sin2x, v

LR
Answered by Liam R. Maths tutor
2774 Views

A linear sequence is as follows: a+b, a+3b, a+5b .... The 2nd term is equal to 15. The 6th term is 47. What is the value of a? What is the value of b? Show your working.

a+3b = 15, a+11b=47 , use simultaneous equations to get 8b = 32 therefore b=4 and a=3.

LR
Answered by Liam R. Maths tutor
4024 Views

What is the integral of 2x^5 - 1/4x^3 - 5

Integrating is essentially the opposite of differentiating.xn --> xn+1 We add 1 to the power and re-introduce variables where they have been eliminated potentially k --> kxWe m...

JS
Answered by Joshua S. Maths tutor
3143 Views

Solve the following simultaneous equations: 2y = 8x + 6 // x = 3y + 7

First we must try to write y as a function of x, in this case it means halving the first equation so that we find that y = 4x + 3. Once we have dicovereved this. We can now write the y in our second ...

AH
Answered by Andrew H. Maths tutor
2755 Views

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