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Aggie4216
30.01.2020 •
Mathematics
Algebra math
100 points + brainy
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Ответ:
see work below
Step-by-step explanation:
F(x) is the same thing as y
y = 2x-3
exchange x and y
x = 2y-3
solve for y this is how we find the inverse function
add 3 to each side
x+3 = 2y-3+3
x+3 = 2y
divid by 2
(x+3)/2 = 2y/2
(x+3)/2 = y
the inverse of F(x) is (x+3)/2
to show one function is the inverse of the other,plug that function into the inverse function. You should get x as the answer
We will plug F(x) into G(x)
G(x) = (x+3)/2
put (2x-3) in for x
G(x) = ((2x-3)+3)/2
simplify the numberator
(2x-3+3)/2
2x/2
simplify
x
Since we got x back out
F(x) and G(x) are inverses
Ответ:
Step 1 : y = 2x-3
Step 2 : x = 2y-3
Solve for y
x = 2 y - 3
(+3 to both sides)
x + 3 = 2 y
(÷2 from both sides)
The inverse of F(x) is (x+3)/2
Substitute F(x) into G(x)
G(x) =![\frac{x+3}{2}](/tpl/images/0485/3910/4f082.png)
G(x) =![\frac{(2x-3)+3}{2}](/tpl/images/0485/3910/f738d.png)
(2x-3+3)/2 - Simplify
2x/2
Since the x is the same
F(x) and G(x) are inverses
Step-by-step explanation:
Ответ:
96 lbs.
Step-by-step explanation:
144 divided 1.5 = 96