number 42 please 954 i C httpsdrive googlecomfied0e8KDbHpoMf

954 i C https://drive google.com/fie/d/0e8KDbHpoMf7TmiHMUZx11500vira In Probiem 39-44, find the following for ach function dy-fx) e) f(x-2) 3x fx) &10 She ain ofn In Problems 45-52, find the domain of each S0.g(a) 5 6 8 9 2

Solution

42 : f(x) = | x^2 -4 | is mod function whih return +ve values for -ve inputs i.e. |-3| =3

a) f(2) = |2^2 -4| = | 0| =

b) f(-2) = | -2^2 -4| = | 4-4| =0

c) f(-x) = | (-x)^2 -4| = |x^2 -4 |

d) -f(x) = - |x^2 -4|

e) f(x-2) = | (x-2)^2 -4 | = | x^2 +4 -4x -4| = |x^2 -4x|

f) f( 2x) = | (2x)^2 -4 | = | 4x^2 -4| = 4|x^2 -1|