Example 4: Combining Functions to Form a New Function

Functions:

       
Solve:

a.
b.
c.

Click the "Clear" button to clear the Math Pad screen. Next define the three functions. Use "sqrt" to denote the square root. Type f(x) = 2*x + 5 and press enter, then type g(x) = 3*x^2 + 2 and press enter, and finally type h(x) = sqrt(x-1) and press enter once again.

(a). Simply type f(-2) + g(-2) and press enter. Math Pad will return the numerical value.

(b). For this problem, type f(1)/g(1) and press enter.

(c). To evaluate the composite function h(f(x)) when x = 6, you must first assign the value 6 to the variable x. To do this type x = 6 and press enter. Then type h(f(x)) and press enter.

Figure 4

ANS: a = 15.0
  b = 1.4
  c = 4.0

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