Mathematics
Grade10
Easy

Question

Let f left parenthesis x right parenthesis equals 2 x minus 3. Suppose you subtract 5 from the input of the f to create the new function g, then multiply the input of the function g by 3 to create a function h. Write the equation that represents h?

  1. h left parenthesis x right parenthesis equals 6 x plus 7
  2. h left parenthesis x right parenthesis equals 6 x minus 13
  3. h left parenthesis x right parenthesis equals 2 x plus 7
  4. h left parenthesis x right parenthesis equals 2 x minus 13

hintHint:

We have given f(x) and we have to find g(x) and h(x) given that g(x)= f(x-5) and h(x)=g(3x).

The correct answer is: h left parenthesis x right parenthesis equals 6 x minus 13


    Given function f left parenthesis x right parenthesis equals 2 x minus 3
    Subtract 5 from the input of the f left parenthesis x right parenthesis
    g left parenthesis x right parenthesis equals f left parenthesis x minus 5 right parenthesis equals 2 left parenthesis x minus 5 right parenthesis minus 3 equals 2 x minus 10 minus 3 equals 2 x minus 13
    Multiply the input of function  by 3
    h left parenthesis x right parenthesis equals g left parenthesis 3 x right parenthesis equals 2 left parenthesis 3 x right parenthesis minus 13 equals 6 x minus 13
    So,h left parenthesis x right parenthesis equals 6 x minus 13.

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