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Chapter 5: Q 25. (page 257)

Find the domain of the composite function f鈭�g.

f(x)=xandg(x)=2x+3

Short Answer

Expert verified

Domain of the composite function off(x)=xandg(x)=2x+3is[0,鈭�).

Step by step solution

01

Step 1. Given information.

We have given,

f(x)=xandg(x)=2x+3

02

Step 2. Concept used.

Domain is the set of all input values where the function is well defined and real.

03

Step 3. Explanation.

We have given,

f(x)=xandg(x)=2x+3

g(x) is the polynomial function and domain of polynomial function is the set of all real numbers.

So domain of the g(x) is the set of all real numbers.

Similarly domain of the f(x) is[0,鈭�).

So we need to exclude from the domain of g(x).

So domain of composite function of f(x)=xandg(x)=2x+3is [0,鈭�)

04

Step 4. Conclusion.

Hence, domain of the composite function of f(x)=xandg(x)=2x+3is[0,鈭�).

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