Find the Inverse Function Algebraic Questions

Saad Abdullah MajrashiAssignment Homework 4 due 10/05/2021 at 11:59pm CDT
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5. (1 point) Given that f (x) = 5x − 1, calculate
f ◦ f (−1)=
1. (1 point) For the function f (x) = x3 − 2,
(a) sketch the graph of f
(b) use the graph of f to sketch the graph of f −1
(c) enter the correct formula:
Given that g(x) = 3 − x2 , calculate
g ◦ g(3)=
f −1 (x) =
Answer(s) submitted:
Answer(s) submitted:
•
•
•
(incorrect)
(incorrect)
2. (1 point) Find the inverse function of
√
f (x) = 3x + 1
6. (1 point) Let f (x) = 2x − 2 and g(x) = 3 − x2 . Evaluate
the following:
1. f (g(0)) =
2. g( f (0)) =
f −1 (x) =
Answer(s) submitted:
•
•
Answer(s) submitted:
•
(incorrect)
(incorrect)
√
3. (1 point) Find the inverse function of f (x) = 6 + 3 x.
f −1 (x) =
7. (1 point) Evaluate the function h(t) = 14 − 2t at 5 − t 3
without using a calculator. Simplify your answer as much as
possible.
Answer(s) submitted:
h(5 − t 3 ) =
•
help (formulas)
Answer(s) submitted:
•
(incorrect)
4. (1 point) Find the inverse for each of the following functions.
(incorrect)
8. (1 point) Let f (x) = 3x + 3 and g(x) = 3×2 + 3x.
Then,
( f ◦ g)(x) =
f (x) = 2x + 12
f −1 (x) =
g(x) = 3×3 − 12
Answer(s) submitted:
•
g−1 (x) =
(incorrect)
2
x + 12
h−1 (x) =
9. (1 point)
Let
f (x) = x2 + 1
√
j(x) = 3 x + 3
j−1 (x) =
Then
h(x) =
Answer(s) submitted:
•
•
•
•
( f ◦ f )(x) =
( f ◦ g)(x) =
(g ◦ f )(x) =
(incorrect)
1
.
.
.
and g(x) = x2 − 1
•
Answer(s) submitted:
•
•
(incorrect)
Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America
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