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3 years ago

If G(x) = (x + 5)2, and F(x) = x2 + 9x, what is the function G(F(x))?

1 answer:

6 0

Hello,

f(x)=x²+9x
g(x)=(x+5)²

g(f(x))=g(x²+9x)=((x²+9x)+5)²=(x²+9x+5)²=x^4+81x²+25+2*x²*9x +2*x²*5 +2*9x*5
=x^4+18x^3+91x²+90x+25

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3 years ago

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3 years ago

Factorise 9w² - 100

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

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