Use the functions below to answer the questions
g(x)=x2-4x+2 f(x)=5x-9 h(x)=(1/4)x+6
1. (h-f)(4)
2. Find x if h(x)=9
3. Find n if f(n)=f(3n+1)
Thanks
+9466 1.
(h - f)(4) = h(4) - f(4)
h(4) = (1/4)(4) + 6
h(4) = 1 + 6
h(4) = 7
f(4) = 5(4) - 9
f(4) = 20 - 9
f(4) = 11
(h - f)(4) = h(4) - f(4)
(h - f)(4) = 7 - 11
(h - f)(4) = -4
+9466 2.
Find x if h(x) = 9
h(x) = (1/4)x + 6 Plug in 9 for h(x) .
9 = (1/4)x + 6 Now solve this equation for x . Subtract 6 from both sides.
3 = (1/4)x Multiply both sides by 4 .
12 = x
3.
Find n if f(n) = f(3n + 1)
If f(n) = f(3n + 1) , then n must equal 3n + 1 .
n = 3n + 1 Subtract 3n from both sides of this equation.
n - 3n = 1 Combine like terms.
-2n = 1 Divide both sides by -2 .
n = -1/2
