Answer: 0.5
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
g
f
)(x)=
4−5x
3x+2 f (2) = 2(2) = 4
g(2) = (2) + 4 = 6
h(2) = 5 – (2)3 = 5 – 8 = –3
Now I can evaluate the listed expressions:
(f + g)(2) = f (2) + g(2)
= 4 + 6 = 10
(h – g)(2) = h(2) – g(2)
= –3 – 6 = –9
(f × h)(2) = f (2) × h(2)
= (4)(–3)= –12
(h / g)(2) = h(2) ÷ g(2)
= –3 ÷ 6 = –0.5
Step-by-step explanation:
By looking where the functions intercept, we conclude that the correct option is x = -2.8.
Here we have:
To find a solution of f(x) = g(x), we can graph both equations on the same axis, and see where the curves intercept.
The graph can be seen below:
There, we can see that we have intercepts at:
x = -2.8
x = 0.8
x = 2.9
From these, the only one that appears in the options is the first one, so that is the correct option.
If you want to learn more about graphs:
https://brainly.com/question/21846760
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