s lecture 20, April 10-18x Math 140 Section 5.4 Ho x Use The Table To Evaluat x

Question

s lecture 20, April 10-18x Math 140 Section 5.4 Ho x Use The Table To Evaluat x C Secure https://www.webassign.net/web/Student/Assignment-Responses/sub 9. O -0.9 points 0/6 Submissions Used Use the given graphs of f and g to evaluate each expression. (If an answer is undefined, enter UNDEFINED.) (a) f(g(2)) (b) g(RO)) (c) fo(o)) d) KK4)) 10···?.9 points 06 Subrnissions used Let fx)-x2+ 4 and o(x) 4x 6. Find the following. 11. i +1-1 points 0/6 Submissions Used Let g(t)-t+ Vt and h(t)-6t+4. Find the following. oth((2)) - ho(9))

Explanation / Answer

9) f ( g (2) ) = f ( 5) since g(2) = 5;
f(5) = 4;

g(f(0) ) = g ( 0) since f(0) = 0 ;
g(0) = 3;

f(g(0)) = f ( 3) since g(0) =3;
f(3) = 0

f(f(4)) = f ( 2) since f(4) = 2;
f(2) = -2

10) f(x) = x2 + 4 and g(x) = 4x-6;
f (g(3) ) = f ( 4(3) - 6) since g(3) = 4(3) - 6
= f ( 12-6) = f(6)
f(6) = 62 + 4 = 40
thus, f(g(3)) = 40;

g(f(3) ) = g ( 32 + 4) = g ( 9+4) = g(13)
g(13) = 4*13 - 6 = 52-6 = 46;

11)
g(t) = t + t1/2 and h(t) = 6t+4
g ( h(2) ) = g ( 6*2+4) = g ( 12+4) = g (16) = 16+ 161/2 = 16 + 4 = 20

h(g(9)) = h ( 9 + 91/2 ) = h ( 9+3) = h (12) = 6*12 + 4 = 72 + 4 = 76;   

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