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f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m.

We are told that this function of 'f' and 'g' can also be written as...

Answered by Angus B. • Maths tutor

4145 Views

Expand and simplify the following expression: (2x-1)(3x+2)

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session.

Answered by Oliver B. • Maths tutor

9466 Views

Integrate ln(x) wrt dx

Integrate by parts. First rewrite the integral in the form udv/dx, which is (1)ln(x). Then integrate (1)ln(x) wrt dx by assigning u=ln(x) du/dx=1/x and dv/dx=1 v=x. We can determine the integral of ln...

Answered by Sathurthini T. • Maths tutor

4057 Views

Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.
a=3 b=7 c=-13

Use quad formula: -b+-root[(b^2-4ac)/2a]

Sub in values: -7+-root[7^2-4x3x-13] =1.22 and -3.55

Answered by Bronte P. • Maths tutor
5110 Views

Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.
This is an example of completing the square.If we expand (x - p)^2 + q, we will have x^2 -2px + p + q.Now we can use algebra to work out what p and q are from the following equation. x^2 - 7x + 2 = x^2 -2...
Answered by Catherine P. • Maths tutor
18187 Views

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f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

Expand and simplify the following expression: (2x-1)(3x+2)

Integrate ln(x) wrt dx

Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.

Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.

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