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3 years ago

Given the function f(x)=x2+2x+1, find: f( (2a−3)/5 ) = Show working please!

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

<h3>Given</h3>

f(x) = x² + 2x + 1

f((2a-3)/5)

<h3>Solution</h3>

It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.

... f(x) = (x +1)²

... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²

... = (2/5(a+1))²

... f((2a-3)/5) = (4/25)(a² +2a +1)

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