How do I evaluate the following from B through D?

Question

asked Oct 19, 2023 81.2k views

1 Answer

Ivan Peevski · Answer 1 · 2023-10-25T14:26:15+0000

Part B.

In this case, we need to evaluate the following function,

Then, by replacing the number -3 into the place of x in functions f and g, we have

and

Then,

Therefore, the answer is:

Part C.

In this case, we need to evaluate

$(f\cdot g)(1)=f(1)\cdot g(1)$

So, by replacing the number 1 into the place of x in function f and g , we have

and

Then, we have that

$(f\cdot g)(1)=f(1)\cdot g(1)=(-4)\cdot7=-28$

Therefore, the answer is:

$(f\cdot g)(1)=-28$

Part D.

Similarly, in this case we have

By replacing the number -4 into the place of x in functions f and g ,we get

and

So, we have that

Therefore, the answer is: