g(7) = -15*7^2 + 14*7 - 10 = -647
g(g(7)) = g(-647)
= -15(-647)^2 + 14(-647) - 10 = -6,288,203
Not hard - just be careful with the arithmetic.
f(x) = 15x - 12
g(x) = -15x2 + 14x - 10
find g(g(7))
my brain hurts - help me through the steps - functions for dummies version, I have 7 problems to do
THANK YOU
5 answers
I don't get why f(x) = 15x - 12 is there then.?
can you help with these - still having problems
15. f(x) = -13x2 + 12x + 14 g(x) = 11x - 13
find f(g(7))
16. f(x) = 11x + 15
g(x) = -11x3 - 15x2 + 13x - 13
find g(f(6))
17. f(x) = 15x3 + 13x2 - 15x + 15
g(x) = 15x + 11
find g(f(9))
18. f(x) = -13x2 - 13x + 14
g(x) = -13x - 11
find g(g(3))
19. f(x) = 15x + 12
g(x) = -10x + 15
find f(g(8))
15. f(x) = -13x2 + 12x + 14 g(x) = 11x - 13
find f(g(7))
16. f(x) = 11x + 15
g(x) = -11x3 - 15x2 + 13x - 13
find g(f(6))
17. f(x) = 15x3 + 13x2 - 15x + 15
g(x) = 15x + 11
find g(f(9))
18. f(x) = -13x2 - 13x + 14
g(x) = -13x - 11
find g(g(3))
19. f(x) = 15x + 12
g(x) = -10x + 15
find f(g(8))
is #15 -52,466???
15. yes
16.
f(6) = 11*6+15 = 81
g(81) = -11*81^3 - 15*81^2 + 12*81 - 13 = -5,943,307
17.
f(9) = 15*9^3 + 13*9^2 - 15*9 + 15 = 11,868
g(11868) = 15*11868 + 11 = 178,031
see? nothing to it!
Although all the big numbers are annoying. The arithmetic just gets in the way of the techniques.
16.
f(6) = 11*6+15 = 81
g(81) = -11*81^3 - 15*81^2 + 12*81 - 13 = -5,943,307
17.
f(9) = 15*9^3 + 13*9^2 - 15*9 + 15 = 11,868
g(11868) = 15*11868 + 11 = 178,031
see? nothing to it!
Although all the big numbers are annoying. The arithmetic just gets in the way of the techniques.
1 answer