If you post more than 1 question, as HOMEWORKLIB RULES guidelines I have to solve only first question.
Ques 3.
Now,
So,
Now, if we use input in R, then the value is also in R as there is not imaginary value returned by fog.
Hence, fog is R to R.
Now,
So,
Now, if we use input in R, then the value is also in R as there is not imaginary value returned by gof.
Hence, gof is R to R.
3) [8 marks] Find fog and go f, where fx) -x+2 and glx) x+3, are functions...
For f(x)=x2 +2 and g(x)=x2-3, find the following functions. a. (fog)(x); b. (gof)(x); C. (fog)(3); d. (gof)(3) a. (fog)(x)=0 (Simplify your answer.) b. (gof)(x)=0 (Simplify your answer.) c. (fog)(3)=0 d. (gof)(3)=
Find fog(x), gof(x), and g-1 (x) where f(x) = 2x2 and g(x) = x+3 are functions from R to R.
Evaluate. If fx) - x-5 and glx) x-1, evaluate (f + g)(2) a) 8 b) 10 c) o d) -2
Q4 (4 points) (a) (1.5p) Find f +g-h, fog, fog•h if f(x) = (x - 3, g(x) = x^, and h(x) = x* + 2 (b) 0(1p) Find the inverse of the function f(x) = 4x - 1 2x + 3 () (0.5p) Find f(-)) (c) Simplify: 0 (1p) In(a) + { ln(b) + Inc mais)
Let f(x)=5x^2+9 and g(x)=x-4 A) Find the composite function (fog)(x) and simplify. B) Find (fog) (3)
For f(x) = 2-x and g(x) = 2x2 +x+6, find the following functions. a. (fog)x); b. (gof)(x); c. (fog)(2); d. (gof)(2) a. (fog)(x) = 0 (Simplify your answer.) b. (gof)(x) = 0 (Simplify your answer.) c. (fog)(2)- d. (gof)(2)-
5. Find the derivative matrices of the following composition of functions. (а) fog where f (x, у) — 2х — 3у, g(u, v) - (usin u, U sin u) (Ъ) f.g where f(х, у, 2) %3D (x? + у? +2?,х— у+2:), g() %3 (2, 13, 2/4) (с) fog wherе f (x, у, z) 3D (хуz, ху + xz — yz) where g(u, v, w) %3D (uu, uw, vw) 5. Find the derivative matrices of the following composition of functions. (а)...
. For f(x)=x2 +3 and g(x) = x2-x, find a. (fogxx); b. the domain of fog a. (fog)(x) = 0 (Simplify your answer.) b. What is the domain of fog? The domain is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All Check Answer 30 Ps @ w MacBook Air 80 4 11...
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal. Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...
Question 12 of 23 (1 point) Find two functions f and g such that h(x)=(fog)(x) and f(x) * g() + x. n(x) = */7x +5 f(x)=0 and g(x)=0 Question 14 of 23 (1 point) The one-to-one function is given. Write an equation for the inverse function. 2 s(x) = х 3