3 years ago

If g(x)=−3x+9 g ( x ) = − 3 x + 9 and f(x)=2x+7 f ( x ) = 2 x + 7 , what is the value of g(f(x)) g ( f ( x ) ) ?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

5 0

G(f(x)) = g(2x +7) = -3(2x +7) +9 = -6x -21 +9

g(f(x)) = -6x -12

You might be interested in

What is the sum of the arithmetic sequence 8, 15, 22 …, if there are 26 terms?

bixtya [17]

For the regular sequence 1, 2, 3, ..., $n$ , then sum is
$\frac{n(n+1)}{2}$

If we multiply each number by 7 (7, 14, 21, ...), then the sum is
$\frac{7n(n+1)}{2}$
and if we add 1 to each number (8, 15, 22, ...) then the sum is
$\frac{7n(n+1)}{2}+n$

We have $n=26$ terms, so the sum is:
$\frac{7(26)(27)}{2}+26$
$=7(13)(27)+26$
$=91(27)+26$
$=2457+26$
$=2483$