Find F^-1 if f:R=>R is given as f(x)=2(x) -10 ABIA STATE UNIVERSITY UTURUDEPARTMENT OF MATHEMATICS2018/2019 SECOND SEMESTER EXAMINATIONGENERAL MATHEMATICS 111 (MAT 104)INSTRUCTIONS: (i) WRITE YOUR FULL NAME ON THE ANSWER BOOKLET(ii) ANSWER FOUR QUESTIONS ONLYTIME: 2hrse 1. (a) Find F-1 if f: R →R is given by f (x) = 2x - 10.(b) Given that f = 3x - 2 and g = 5x2. Compute fog and gof(c) Give brief explanations on the following(i) Signum function(ii) Modulus function.2. Define the limit of a function; hence prove that lim(3x - 4) = 2ズ→2x2-25(b) Evaluate limズ→5 x-5and classify the type of discontinuity in the limit.3. When do we say the limit of a function f exist?(b) State the three conditions for the continuity of a function f(x) at x c.(c) Evaluate the followingx5-7x2+3x2 +x+1(i) limx-0 2x-4x5(ii) limx-3 V x2+94. Using the first principle of differentiation, show that the derivative of cos xwith respect to x is - sin x.(b) Find the derivative of the following with respect to x(i) (3x + 4)5(ii) ee*5. Evaluate y' of xy5 - x'y +5x - 3 = 0, at (x, y) = (-1,1)(b) Findif x = sin 0 and y = 0 cos 0.dx6. Find the antiderivative of each of the following(i) x1/2(ii) x2 + cos x(b) Evaluate f dxx2+9NB: ENSURE THAT YOU HAVE REGISTERED THIS COURSE ONLINE!!!

Name: Find F^-1 if f:R=>R is given as f(x)=2(x) -10 ABIA STATE UNIVERSITY UT
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Description: Find F^-1 if f:R=>R is given as f(x)=2(x) -10 ABIA STATE UNIVERSITY UTURUDEPARTMENT OF MATHEMATICS2018/2019 SECOND SEMESTER EXAMINATIONGENERAL MATHEMATICS 111 (MAT 104)INSTRUCTIONS: (i) WRITE YOUR FULL NAME ON THE ANSWER BOOKLET(ii) ANSWER FOUR QUEST