If h(x)=3x+2 and h(f(x))=x then f(2)=?
if h(x)=3x+2 and h(f(x))=x then f(2)=?
if h(x)=3x+2 and h(f(x))=x then f(2)=?
2 Answers
Jun 26, 2018
Explanation:
Find the inverse function of
Jun 26, 2018
Explanation:
#"since "h(x)=3x+2" let "f(x)=ax+b#
#"then "h(f(x)=3(ax+b)+2=3ax+3b+2#
#"but "h(f(x))=x#
#color(blue)"comparing coefficients ""gives"#
#3a=1rArra=1/3#
#3b+2=0rArrb=-2/3#
#"thus "f(x)=1/3x-2/3rArrf(2)=2/3-2/3=0#