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f(x)=2x+c, g(x)=cx+5, fg(x)=6x+d; c and d are constants. Work out the value of d

f(g(x))=2(cx+5)+c fg(x)=2cx+10+c 2cx=6x 2c=6 c=3 10+c=d d=13
IB
Answered by Imogen B. • Maths tutor
6322 Views

Make x the subject of 3y + 2x = 6y - x/2

Multiply whole equation by 2 6y + 4x = 12y - x Take 6y from both sides 4x = 6y - x Add x to both sides 5x = 6y divid both sides by 5 x = 6/5(y)
BP
Answered by Ben P. • Maths tutor
4037 Views

Differentiate: f(x)=(ax^2 + bx + c) ln(x + (1+x^2)^(1/2)) + (dx + e) (1 + x^2)^(1/2). Hence integrate i) ln(x + (1 + x^2)^(1/2)), ii) (1 + x^2)^(1/2), iii) x ln(x + (1 + x^2)^(1/2)).

Differentiate equation: f'(x) = (2ax + b) ln(x + (1+x^2)^(1/2)) + ((a + 2d)x^2 + (b + c)x + (c+d)) (1 + x^2)^(-1/2). Select correct values for constants to get: i) x ln(x + (1+x^2)^(1/2)) - (1 + x^2)^(1/2) +...
ME
Answered by Morgan E. • STEP tutor
3737 Views

Explain how Giraffes may have evolved to have long necks.

There would be variation in the length of necks in the early giraffe population. Those who had longer necks would have an advantage for survival as they would be able to reach higher into the trees to feed. ...
IB
Answered by Imogen B. • Biology tutor
4768 Views

How should I include critical viewpoints in my essay?

Critics can be very difficult to engage with effectively. The best way to go about responding to a critic is by understanding how it fits into the familiar PEA/PEE (Point Evidence Analysis/Explain) formula. ...
JH
6857 Views