(4,-3) is on g
For each of the following functions find a point on its graph. Enter exact answers. I cannot find the other three :(
a) g(2x) - 5 ,(2,-8)
b) 3g(x) + 1
c) -(g(1/3(x+4))-8)
d) 1/2g(-5x-15)-8
b. 3*g(4) + 1=3*(-3)+1=.... (2,-8)
c. -g(1/3(8+4)) +8.... (8,11) check that
d 1/2g (-5*x -15) -8
now to make the g(4)=g(-5x-15) then
x=-19/5, so (-19/5, -8-3/2)
check those, most of it I did in my head.
To find points on the graph of each function, we can substitute the given point (4, -3) into each function. Let's go through each function step by step.
a) g(2x) - 5:
Substitute x = 2 into the function:
g(2(2)) - 5 = g(4) - 5
We are looking for a point on the graph, so we need to find the y-coordinate. Unfortunately, we do not have enough information about the function g to determine g(4). Therefore, we cannot find a point on the graph for this function.
b) 3g(x) + 1:
Substitute x = 4 into the function:
3g(4) + 1
As mentioned earlier, we do not have enough information about the function g to determine g(4). Therefore, we cannot find a point on the graph for this function either.
c) -(g(1/3(x+4)) - 8):
Substitute x = 4 into the function:
-(g(1/3(4+4)) - 8) = -(g(1/3(8)) - 8) = -(g(8/3) - 8)
Again, we do not have enough information about the function g to determine g(8/3). Thus, we cannot find a point on the graph for this function.
d) 1/2g(-5x-15) - 8:
Substitute x = 4 into the function:
1/2g(-5(4)-15) - 8 = 1/2g(-35) - 8
Once more, we lack information about the function g to determine g(-35). Consequently, we cannot find a point on the graph for this function either.
In summary, we do not have enough information about the function g to find points on its graph for any of the given functions.
To find a point on the graph of each function, we need to substitute a value for 'x' and compute the corresponding 'y' value.
For function 'g(x)' given that (-3, -3) is on the graph, we need to find three more points.
a) g(2x) - 5:
To find a point on this graph, we substitute 'x' with a value, let's say '2', and compute the corresponding 'y' value.
g(2(2)) - 5 = g(4) - 5
So, a point on this graph is (4, g(4)-5).
b) 3g(x) + 1:
Similarly, to find a point on this graph, we substitute 'x' with a value, let's say '-3', and compute the corresponding 'y' value.
3g(-3) + 1
So, a point on this graph is (-3, 3g(-3) + 1).
c) -(g(1/3(x+4)) - 8):
Again, to find a point on this graph, we substitute 'x' with a value, let's say '-1', and compute the corresponding 'y' value.
-(g(1/3(-1+4)) - 8)
So, a point on this graph is (-1, -(g(1) - 8)).
d) 1/2g(-5x-15) - 8:
Once more, to find a point on this graph, we substitute 'x' with a value, let's say '-2', and compute the corresponding 'y' value.
1/2g(-5(-2)-15) - 8
So, a point on this graph is (-2, (1/2)g(5) - 8).
Please note that to find the exact value of 'g' at different points, we would need more information about the function itself.