The functions f and g are defined by f: x = 4 - x and g: x = hx² + k. If the composite function gf is given by gf: x + 2x² - 16x
+ 26, find
(a) the value of h and of k,
1 answer:
Answer:
Step-by-step explanation:
f(x) = 4-x
g(x) = h
+k
g(f(x)) = 2
-16x+26
so put f(x) in g(x)
h
+k
h((4-x)(4-x) + k
h(
-8x+16)+k
if h = 2 , then
2
-16x+32 + k
and we want 26 instead of 32 so subtract 6 so K = (-6)
2
-16x+32 + (-6)
2
-16x+32 - 6
2
-16x+26
h=2
k=(-6)
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