The function g is defined by g(x)=9k−4, where k is a constant. Find k, if the graph of g passes through the point (7,−2).
no
To find the value of k, we need to substitute the values of x and g(x) into the equation and solve for k.
We are given that the point (7,-2) lies on the graph of g, so we can substitute x = 7 and g(x) = -2 into the equation:
-2 = 9k - 4
We can now solve this equation for k. Let's start by isolating the term with k:
9k - 4 = -2
Adding 4 to both sides:
9k = 2
Now, divide both sides by 9 to solve for k:
k = 2/9
Therefore, the value of k that makes the graph of g pass through the point (7,-2) is k = 2/9.
To find the value of k, we need to substitute the given point (7, -2) into the function g(x) = 9k - 4 and solve for k.
Step 1: Substitute the x-coordinate of the point, which is 7, into the function.
g(7) = 9k - 4
Step 2: Substitute the y-coordinate of the point, which is -2, into the function.
-2 = 9k - 4
Step 3: Solve the equation for k.
-2 + 4 = 9k
2 = 9k
Step 4: Solve for k by dividing both sides by 9.
k = 2/9
Therefore, the value of k is 2/9.
Your function g(x) doesn't have any x's in it! If it's a constant, then
9k-4 = -2
k = 2/9
You sure you don't mean
g(x) = 9kx-4
or
g(x) = 9x-4k or something?
since g(7) = -2, if g(x) = 9kx-4, then
9k*7-4 = -2
63k = 2
k = 2/63
If that's not what you wanted, then fix g(x) and just plug in 7 for x and -2 for g(x) in the equation, then solve for k.