Pertanyaan

f ( x ) = 2 x 2 − 5 x g ( x ) = 2 x + 1 Tentukan: ( f ∘ g ) ( x )

$f (x) = 2 x^{2} - 5 x$

$g (x) = \frac{x + 1}{2}$

Tentukan: $(f \circ g) (x)$

P. Data

Master Teacher

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals 2 open parentheses fraction numerator x plus 1 over denominator 2 end fraction close parentheses squared minus 5 open parentheses fraction numerator x plus 1 over denominator 2 end fraction close parentheses left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals 2 open parentheses fraction numerator x squared plus 2 x plus 1 over denominator 4 end fraction close parentheses minus open parentheses fraction numerator 5 x plus 5 over denominator 2 end fraction close parentheses left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator x squared plus 2 x plus 1 over denominator 2 end fraction minus fraction numerator 5 x plus 5 over denominator 2 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator x squared plus 2 x plus 1 minus 5 x minus 5 over denominator 2 end fraction left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals fraction numerator x squared minus 3 x minus 4 over denominator 2 end fraction end style$