Let f(a) — a4 + 0.2a3 — 5.822— х +4, х € R. 14a. Find the solutions of f(x) > 0. 14b. For the curve y = f(x). (i) Find the coordinates of both local minimum points. (ii) Find the x-coordinates of the points of inflexion. The domain of f is now restricted to [0, a]. 14c. Write down the largest value of a for which f has an inverse. Give your answer correct to 3 significant figures. 14d. For this value of a sketch the graphs of y = f(x) and y = f-'(x) on the same set of axes, showing clearly the coordinates of the end points of each curve. 14e. Solve f-1(x) = 1. Let g(æ) = 2 sin(x –- 1) – 3, –5 +1< æ < ; +1. 14f. Find an expression for g(x), stating the domain. 14g. Solve (f-l o g)(x) < 1.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
I'm stuck on the last part of the problem (14g) which states
Solve (f^-1)(g(x))<1
where f(x)= x^4+.2x^3-5.8x^2-x+4 and g(x) = 2sin(x-1)-1
I've included a picture also.
![Let f(a) — a4 + 0.2a3 — 5.822— х +4, х € R.
14a. Find the solutions of f(x) > 0.
14b. For the curve y = f(x).
(i)
Find the coordinates of both local minimum points.
(ii)
Find the x-coordinates of the points of inflexion.
The domain of f is now restricted to [0, a].
14c. Write down the largest value of a for which f has an inverse. Give your answer
correct to 3 significant figures.
14d. For this value of a sketch the graphs of y = f(x) and y = f-'(x) on the same set of
axes, showing clearly the coordinates of the end points of each curve.
14e. Solve f-1(x) = 1.
Let g(æ) = 2 sin(x –- 1) – 3, –5 +1< æ < ; +1.
14f. Find an expression for g(x), stating the domain.
14g. Solve (f-l o g)(x) < 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff94283c2-9b59-4d06-b7a1-3647b0827b39%2F66679952-e47c-4c69-96ee-24cdffb33935%2Fjob8e23.png&w=3840&q=75)
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