1) f(x) + g(x)
= 7√x + 4 + 2√x - 2
= √x(7 + 2) + 2
= 9√x + 2 [ Final Answer ]
2) f(x) - g(x)
= 7√x + 4 - (2√x - 2)
= 7√x + 4 - 2√x + 2
= √x(7 - 2) + 6
= 5√x + 6 [ Final Answer ]
Hope this helps!
I see. Imagine you have f(x)=|x|. It's a V shaped graph.
Now if f(x)=|x|, 2f(x)=2|x|.
Graph Transformation Rule:
af(x), multiply y-coordinates by a.
*Ultimately, you'd still have a V shaped graph in 2f(x)=2|x|, but the y values of all the coordinates in f(x)=|x| would have to be multiplied by 2 giving you 2f(x)=2|x|.
Answer: See below
Explanation:
Solve this system of equation using elimination method:
3x - y = 0
2x - y = 1
________
3x - y = 0
-1(2x - y = 1)
_________
3x - y = 0
-2x + y = -1
_________
X = -1
We know that x = -1 now let’s plug it in the one of the equation to find y:
2x - y = 1
2(-1) - y = 1
-2 - y = 1
-y = 3
y = -3
Answer:
y = 46
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 23 when x = 8 , then
23 =
( multiply both sides by 8 )
184 = k
y =
← equation of variation
When x = 4 , then
y =
= 46