If f(x+1)=2x+7 then f(0) is equal to?

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Answer 1 · 2018-05-12T04:25:48

$f(0)=5$ .

We rewrite $2x+7$ to be an expression in terms of $x+1$ :

$2x+7 = 2x + 2 +5$
$color(white)(2x+7) = 2(x+1) +5$

Then:

$f(x+1) = 2(x+1) +5$

so

$f(x) = 2x+5$

meaning

$f(0) = 2(0)+5$
$color(white)(f(0)) = 0+5$
$color(white)(f(0)) = 5$