Given the function below, determine which value will result in f (x) = 10.
f(x)=
1/2
a.x+8
b.f(−2)
c.f(13)
d.f(4)
e.f(−4)
To find which value will result in f(x) = 10, we need to set f(x) equal to 10 and solve for x.
f(x) = 1/2a * x + 8
10 = 1/2a * x + 8
Subtract 8 from both sides:
2 = 1/2a * x
Multiply both sides by 2a:
2 * 2a = x
4a = x
This means that x = 4a.
Now looking at the given options:
b. f(−2) = 1/2a * -2 + 8 = -a + 8
c. f(13) = 1/2a * 13 + 8 = 13/2a + 8
d. f(4) = 1/2a * 4 + 8 = 2a + 8
e. f(−4) = 1/2a * -4 + 8 = -2a + 8
Since x = 4a, the value that will result in f(x) = 10 is (d) f(4). It will equal 10 when a = 1.