Diketahui :

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f(x) = 2x² + 5x² – 1

g(x) = 2x² + 5

h(x) = 3x

Ditanya :

a) f(x) + g(x)

b) g(x) + f(x)

c) f(x) – g(x)

d) g(x) – f(x)

e) { f(x) + g(x) } + h(x)

f) f(x) + { g(x) + h(x) }

g) i) { f(x) + g(x) } x h(x)
ii) { f(x) x h(x) } + { g(x) x f(x) }

h) i) f(x) x { g(x) + h (x) }
ii) { f(x) x g(x) } + { f(x) x h(x) }

Terimakasih….

Diketahui :

Jawaban Terkonfirmasi

Masukkan saja fungsi-fungsinya.

a.)
$begin{align}f(x)+g(x)&=(2x^2+5x^2-1)+(2x^2+5) \ &=7x^2-1+2x^2+5 \ &=(7x^2+2x^2)-1+5 \ &=9x^2+4end{align}

b.)
$begin{align}g(x)+f(x)&=(2x^2+5)+(2x^2+5x^2-1) \ &=2x^2+5+7x^2-1 \ &=(2x^2+7x^2)+5-1 \ &=9x^2+4end{align}

c.)
$begin{align}f(x)-g(x)&=(2x^2+5x^2-1)-(2x^2+5) \ &=7x^2-1-2x^2-5 \ &=(7x^2-2x^2)-1-5 \ &=5x^2-6end{align}

d.)
$begin{align}g(x)-f(x)&=(2x^2+5)-(2x^2+5x^2-1) \ &=2x^2+5-7x^2+1 \ &=(2x^2-7x^2)+5+1 \ &=-5x^2+6end{align}

e.)
$begin{align}big(f(x)+g(x)big)+h(x)&=(9x^2+4)+3x \ &=9x^2+3x+4end{align}

f.)
$begin{align}f(x)+big(g(x)+h(x)big)&=(2x^2+5x^2-1)+(2x^2+5+3x) \ &=7x^2-1+2x^2+3x+5 \ &=9x^2+3x+4end{align}

g.)
(i)
$begin{align}(f(x)+g(x))h(x)&=(9x^2+4)3x \ &=27x^3+12xend{align}
(ii)
$begin{align}(f(x)times h(x))+(g(x)times f(x))&=(7x^2-1)3x+(2x^2+5)(7x^2-1) \ &=21x^3-3x+14x^4-2x^2+35x^2-5 \ &=14x^3+21x^3+33x^2-3x-5end{align}

– Mungkin tidak sama karena kekeliruan soal –

h.)
(i)
$begin{align}f(x)(g(x)+h(x))&=(7x^2-1)(2x^2+5+3x) \ &=(7x^2-1)(2x^2+3x+5) \ &=14x^4+21x^3+35x^2-2x^2-3x-5 \ &=14x^4+21x^3+33x^2-3x-5end{align}
(ii)
$begin{align}(f(x)times g(x))+(f(x)times h(x))&=(7x^2-1)(2x^2+5)+(7x^2-1)3x \ &=14x^4+35x^2-2x^2-5+21x^3-3x \ &=14x^4+21x^3+33x^2-3x-5end{align}