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For all values of x, f(x) = (x + 1)^2 and g(x) = 2(x-1). Show that gf(x) = 2x(x + 2).

f(x)=(x+1)^2g(x)=2(x-1) gf(x)=2([(x+1^2)]-1) =2([(x+1)(x+1)]-1) =2([x^2+2x+1]-1) =2(x^2+2x) =2x(x+2)
QQ
Answered by Quamar Q. • Maths tutor
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How to solve the simultaneous equations: 3x+5y=19 and 4x+6y=22

First find a shared factor between the x's or the y's. Both 5 and 6 are a factor of 30. So 30/5 is 6 therefore we multiply the whole of equation 1 by 6 to get 18x+30y=114. Then 30/6 =5 so we multiply the who...
RK
Answered by Rachel K. • Maths tutor
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Discuss the theme of religion in Jane Eyre in relation to the character St John Rivers.

St John Rivers represents to Jane a form of Christianity that enforces the suppression of deep human emotion, and the absolute devotion to the duty given by God without the interference of personal agency. S...
NP
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Simplify this algebraic fraction: 2(x+8) + 2(x+6) / x^2 - 49

Let's start with the numerator. According to BIDMAS we first expand the brackets: 2x+16+2x+12 Now add the like terms: 4x+28We can now take 4 out as a factor: 4(x+7)Now looking at the denominator we can recog...
PB
Answered by Priti B. • Maths tutor
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What are the key characteristics of the Nazi state?

The Nazi state can be categorised in three different ways- political, social and economic.Politically, Nazi Germany was a one-party fascist dictatorship characterised by repression of opposition politicians ...
IB
Answered by Isaac B. • History tutor
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