Pertanyaan

Diketahui fungsi g(x) = 2x-1 dan persamaan (fog)(x) = 4 x 2 + 2 x + 2 , maka nilai f(-1) adalah….

Diketahui fungsi g(x) = 2x-1 dan persamaan (fog)(x) = $4 x^{2} + 2 x + 2$ , maka nilai f(-1) adalah….

-4
-6
0
2
8

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Jawaban terverifikasi

Pembahasan

(fog)(x) = f(2x-1) = Misal 2x-1 = a maka x = f(a) = +2 +2 f(-1) = +2 +2 = 2

(fog)(x) = 4 x squared plus 2 x plus 2 space

f(2x-1) = 4 x squared plus 2 x plus 2 space

Misal 2x-1 = a maka x = $display style fraction numerator a plus 1 over denominator 2 end fraction$

f(a) = $display style 4 open parentheses fraction numerator a plus 1 over denominator 2 end fraction close parentheses squared$ +2 $display style open parentheses fraction numerator a plus 1 over denominator 2 end fraction close parentheses$ +2

f(-1) = $display style 4 open parentheses fraction numerator negative 1 plus 1 over denominator 2 end fraction close parentheses squared$ +2 $display style open parentheses fraction numerator negative 1 plus 1 over denominator 2 end fraction close parentheses$ +2 = 2