For items 1-3, Refer to the given below:
Let f and g be defined as f(x)= 10x² - 5 and g(x) = 2x - 1 respectively. Find;
1. (f.g)(x)
2. (f + g)(x)
3. (f - g)(x)
Let f and g be defined as f(x)= 10x² - 5 and g(x) = 2x - 1 respectively. Find;
1. (f.g)(x)
2. (f + g)(x)
3. (f - g)(x)
Add an Answer
More Questions From This User See All
Answers & Comments
Step-by-step explanation:
f (x) = 10x^2 - 5
g (x) = 2x - 1
(f o g) (x) = f (g (x))
(f o g) (x) = 10 (2x - 1)^2 - 5
(f o g) (x) = 10 (4x^2 - 4x + 1) - 5
(f o g) (x) = 40x^2 - 40x + 5
(f + g) (x) = f (x) + g (x)
(f + g) (x) = 10x^2 - 5 + 2x - 1
(f + g) (x) = 10x^2 + 2x - 6
(f - g) (x) = f (x) - g (x)
(f - g) (x) = 10x^2 - 5 - (2x - 1)
(f - g) (x) = 10x^2 - 2x - 4
I hope this helps