Problemas
Incorrect Your answer is incorrect. (f+g)(x) Your answer is incorrect. (fcdot g)(x) Your answer is incorrect. (f-g)(1) Your answer is incorrect. Suppose that the functions fand g are defined for all real numbers x as follows. f(x)=2x-6 g(x)=x-3 Write the expressions for (f+g)(x) and (fcdot g)(x) and evaluate (f-g)(1) (f+g)(x)= square (fcdot g)(x)= square (f-g)(1)= square
Roztwór
Gustavo
maestro · Tutor durante 5 años
4.1
(173 Votos)
Respuesta
Let's go through each part step by step.### 1. Finding \((f+g)(x)\)Given:
To find \((f+g)(x)\), we add the two functions:
Combine like terms:
So,
### 2. Finding \((f \cdot g)(x)\)To find \((f \cdot g)(x)\), we multiply the two functions:
Use the distributive property to expand:
Combine like terms:
So,
### 3. Evaluating \((f-g)(1)\)To find \((f-g)(x)\), we subtract the two functions:
Combine like terms:
Now, evaluate at
:
So,
### Summary