Anonim A
04 Desember 2023 02:20
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Anonim A
04 Desember 2023 02:20
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Bakwan G
04 Desember 2023 05:14
<p><strong>Rumus Invers :</strong></p><ul><li>f(x) = ax+b menjadi f-¹(x) = <sup>(x - b)</sup>/<sub>a</sub></li><li>f(x) = <sup>(ax + b)</sup>/<sub>(cx + d)</sub> menjadi f-¹(x) = <sup>(- dx + b)</sup>/<sub>(cx - a)</sub></li></ul><p> </p><p><strong>1. f(x) = 5x + 3</strong></p><p>f(x) = 5x + 3 → a = 5 dan b = 3</p><p>f -¹(x) = <sup>(x - 3)</sup>/<sub>5</sub></p><p> </p><p><strong>2. f(x) = x - 2</strong></p><p>f(x) = x - 2 → a = 1 dan b=-2</p><p>f -¹(x) = <sup>(x - (- 2))</sup>/<sub>1</sub></p><p>f-¹(x) = x + 2</p><p> </p><p><strong>3. f(x) = <sup>(2x + 3)</sup>/<sub>5</sub></strong></p><p>f(x) = <sup>(2x + 3)</sup>/<sub>5 </sub> → a = 2, b=3, c = 0 , dan d = 5</p><p>f-¹(x) = <sup>(- 5x + 3)</sup>/<sub>(0x - 2)</sub></p><p>f-¹(x) = <sup>(-5x + 3)</sup>/<sub>(-2)</sub></p><p>f-¹(x) = <sup>(5x - 3)</sup>/<sub>2</sub></p><p> </p><p><strong>4. f(x) = 7x </strong></p><p>f(x) = 7x → a = 7</p><p>f-¹(x) = <sup>(x - 0)</sup>/<sub>7</sub></p><p>f-¹(x) = <sup>x</sup>/<sub>7</sub></p><p> </p><p><strong>5. f(x) = 2x - 1 ; g(x) = 5 - 7x</strong></p><p>(f o g)(x) = f(g(x))</p><p>(f o g)(x) = f(5 - 7x)</p><p>(f o g)(x) = 2(5 - 7x) - 1</p><p>(f o g)(x) = 10 - 14x - 1</p><p>(f o g)(x) = 9 - 14x</p><p> </p><p><strong>6. f(x) = 3x - 4</strong></p><p>f(5) = 3.5 - 4</p><p>f(5)= 15 - 4 = 11</p><p> </p><p><strong>7. f(x) = 10 - 2x ; f(x) = 6</strong></p><p>f(x) = 10 - 2x</p><p> 6 = 10 - 2x</p><p> 2x = 10 - 6</p><p> 2x = 4</p><p>x = 2</p><p> </p><p>Selesai :D👍</p>
Rumus Invers :
- f(x) = ax+b menjadi f-¹(x) = (x - b)/a
- f(x) = (ax + b)/(cx + d) menjadi f-¹(x) = (- dx + b)/(cx - a)
1. f(x) = 5x + 3
f(x) = 5x + 3 → a = 5 dan b = 3
f -¹(x) = (x - 3)/5
2. f(x) = x - 2
f(x) = x - 2 → a = 1 dan b=-2
f -¹(x) = (x - (- 2))/1
f-¹(x) = x + 2
3. f(x) = (2x + 3)/5
f(x) = (2x + 3)/5 → a = 2, b=3, c = 0 , dan d = 5
f-¹(x) = (- 5x + 3)/(0x - 2)
f-¹(x) = (-5x + 3)/(-2)
f-¹(x) = (5x - 3)/2
4. f(x) = 7x
f(x) = 7x → a = 7
f-¹(x) = (x - 0)/7
f-¹(x) = x/7
5. f(x) = 2x - 1 ; g(x) = 5 - 7x
(f o g)(x) = f(g(x))
(f o g)(x) = f(5 - 7x)
(f o g)(x) = 2(5 - 7x) - 1
(f o g)(x) = 10 - 14x - 1
(f o g)(x) = 9 - 14x
6. f(x) = 3x - 4
f(5) = 3.5 - 4
f(5)= 15 - 4 = 11
7. f(x) = 10 - 2x ; f(x) = 6
f(x) = 10 - 2x
6 = 10 - 2x
2x = 10 - 6
2x = 4
x = 2
Selesai :D👍
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