If f(x)=3x-3 and g(x)=-3x+2, then (2f+3g) is equal toa.-6x+5b.-9x+15x-6c.-3xd.12x+6
Question
If f(x)=3x-3 and g(x)=-3x+2, then (2f+3g) is equal toa.-6x+5b.-9x+15x-6c.-3xd.12x+6
Solution
To solve this problem, we first need to understand what (2f + 3g) means. It means that we multiply the function f(x) by 2 and the function g(x) by 3 and then add them together.
Let's do this step by step:
- Multiply f(x) by 2: 2f(x) = 2*(3x - 3) = 6x - 6
- Multiply g(x) by 3: 3g(x) = 3*(-3x + 2) = -9x + 6
- Add the two results together: (2f + 3g)(x) = (6x - 6) + (-9x + 6) = -3x
So, the answer is c. -3x.
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