Question

The functions f(x) and g(x) are shown.

f (x) = (1/2)*
g(x)= k-x+6 for some value of k
The only solution to the equation f (x) = g(x) is x = 4.
Enter the value of k in function g(x).

Answer 1

When x=4

f(x)=g(x)

f(4)=(1/2)⁴=1/16

g(4)=K-4+6=k²

1/16=k²

k=1/4