Final answer:
To find the value of (f-g)(-5), substitute -5 into both f(x) and g(x), and then subtract the two results. The result is 118.
Step-by-step explanation:
To find the value of (f-g)(-5), we need to substitute -5 into both f(x) and g(x) and then subtract the two results.
First, substitute -5 into f(x) = 4x^2-3:
- f(-5) = 4(-5)^2-3
- f(-5) = 4(25)-3
- f(-5) = 100-3
- f(-5) = 97
Next, substitute -5 into g(x) = 4x-1:
- g(-5) = 4(-5)-1
- g(-5) = -20-1
- g(-5) = -21
Finally, subtract the two results:
- (f-g)(-5) = f(-5) - g(-5)
- (f-g)(-5) = 97 - (-21)
- (f-g)(-5) = 97 + 21
- (f-g)(-5) = 118