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#