Question

Enter the solution set for f(x) for x= {3,4,5}

Answer 1

x={3,4,5}

f(3):-

`\\ \sf\longmapsto (2)/(3)(3)^3`

`\\ \sf\longmapsto 2(3)^2`

`\\ \sf\longmapsto 2(9)`

`\\ \sf\longmapsto 18`

f(4):-

`\\ \sf\longmapsto 2/3(3)^4`

`\\ \sf\longmapsto 2(3)^3`

`\\ \sf\longmapsto 2(27)`

`\\ \sf\longmapsto 54`

f(5):-

`\\ \sf\longmapsto 2/3(3)^5`

`\\ \sf\longmapsto 2(3)^4`

`\\ \sf\longmapsto 2(81)`

`\\ \sf\longmapsto 162`

Solution set:-

• {18,54,162}

Answer 2

• See below

Explanation:

Find each value of f:

• f(3) = 2/3*3^3 = 2*9 = 18
• f(4) = f(3)*3 = 18*3 = 54
• f(5) = f(4)*3 = 54*3 = 162

The solution set is:

• {18, 54, 162}