CALCULUS I (MA 140) TEST 1Show all work for both partial and full credit.f11. Calculate f +g, f -g, f .g,and f,, for f(r):;fou"a g@): tE=m. Aho,firrtl thc dornain for oach of thcsc furrctidrm (botir thc original fuuctiorrs arrd thc rrcwlv crc-2. Find the explicit equation for the quadratic function which goes through the points(0,4), (1, -1), and (4,8). (10 pts. - Section 1.2)_t k) : o,X>+bx+C_7= a,,42+L /- cLl = a-, O'* t O4q) $ = [6o+41*44^ e-4 */La*44' ,l ^tl7n: 4z-4bdv *rtt--t-5=6+U -+,\*b2: qc/'-> ff")-- 2x2-1&x+ /2 CALCULUS I (MA 140) TEST 13. It h(r) : {i, state how the following functions have been translated from h(r): (u)'i(r): -{ri, *8 (b) j(r):3{7 -r *2 (Section 1.3- 10 pts.)oriatelv and simplifv. (Section 1.3 - 10 pts.)G" ,)(*\=- Q GGt$= J 6*A'-3 (5;+/u = A (a; -pn nx') ^ @ ) 5*3x* />- 50 -}Cx -L)r) - /5*3>< n/:- 3q - /7x *Jo)G.A(") :Z:$&:L:- / +3x -J{25. Find all solutions of rs :7r - 4 correct to six decimal places (Section 1.4 - 10 pts.)x= ,ec\a-c{,e.o. Rg51 C W-)'l;ir{n{, 2" d J e rwlCALCULUS I (MA 140) TEST 1 36. If an exponential function of the form F(r) : Ca" goes through the points (1, -6)and (3, -54), find C and a and state the expression for the function. (Section 1.5 - 10 pts.)/tae1^C_r =57/:Co3e - -7(=^*^39>a2j7 = a* g.=3: n,r.) r+?"3'7. Find the inverse function of f (r):y$(Section 1.6 - 10 pts.)rX:WX./-{3x -5y-r7XY-5y=-l2x+7y (>.^3: l*+aY-,9€-'(o): '|HCALCULUS I (I,IA 140) TEST 1Graph the logarithmlc functirmlc functiorr .f(r) :2logs(.r'- 3) - 1 (Se<:tion 1.6 - i0 pts.):lofi nUse this grid5q0_56-nQ-10e9. Simplify the expression cos(tan-lr). (10 pts. - Section 1.6)-5CI \A\-/,+q__-U4n-CFIV \^6A'\:/