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raweber
24.08.2020 •
Mathematics
Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true? a = b =
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Ответ:
a = -1 and
b = 10
Step-by-step explanation:
Given:
h(x) = (x – 1)³ + 10
h(x) = (g compose f)(x).
f(x) = x + a and
g(x) = x³ + b
To find:
The values of a and b = ?
Solution:
First of all, let us have a look at the composite functions.
(g compose f)(x) means we replace the value of
with
in the function
.
We know that:
Let us find (g compose f)(x) by replacing
with ![x+a](/tpl/images/0728/0461/f97ad.png)
Also, h(x) = (g compose f)(x) = (x – 1)³ + 10
Therefore,
Comparing the corresponding elements of the above expressions:
we get a = -1 and
b = 10
Ответ:
7-2x..I'm not entirely sure coz the question isn't given