Question

If f(x) = {(3,5), (2,4),(1,7)}
g(x) = sqrt of x-3
k(x) = x^2+5 determine:

1) composition - (g*k)(7)
2) 1/f(x)
3) (kg)(x)

Answer 1

\[g\circ k(7)=g(k(7))=g(54)=\sqrt{21}\]

Answer 2

\[\frac{1}{f(x)}:=\{(3,\frac{1}{5}),(2,\frac{1}{4}), (1,\frac{1}{7})\}\]

Answer 3

and if the last one is multiplication just stick them next to each other with parentheses and a times sign between them

Answer 4

so will it be (\[(x ^{2}+5)(\sqrt{x-3})\]

Answer 5

yup

Answer 6

thanks....=) Can you help me with another problem

Answer 7

i made a typo on the first one!

Answer 8

\[g\circ k(7)=g(k(7))=g(54)=\sqrt{51}\]

Answer 9

thanks for fixing it...can i ask u another problem?

Answer 10

sure

Answer 11

or just post either way

Answer 12

ok ill post it