Question

Evaluate. Find (f-g)(4) given f(x)=-5x²+5 and g(x)=x+1

Answer 1

The result of (f-g)(4) when f(x)=-5x²+5 and g(x)=x+1 is calculated by finding the values of f(4) and g(4), and then subtracting g(4) from f(4), which yields -80.

Step-by-step explanation:

To evaluate (f-g)(4) given f(x)=-5x²+5 and g(x)=x+1, we need to calculate f(4) and g(4) and then find the difference. First, let's find f(4):

• f(4) = -5(4)² + 5 = -5(16) + 5 = -80 + 5 = -75

Now, let's calculate g(4):

• g(4) = 4 + 1 = 5

Now we subtract g(4) from f(4):

• (f-g)(4) = f(4) - g(4) = -75 - 5 = -80

Therefore, the result of (f-g)(4) is -80.