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sasho [114]
3 years ago
9

If f(x)=-8x+8 and g(x) = sqrt x-9 what is (f•g)(18)

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

-16

Step-by-step explanation:

f(x)=-8x+8 and g(x) = sqrt x-9

(f•g)(18)=f(g(18))

g(18)=sqrt(18-9)=sqrt9=3

f(3)=-24+8=-16

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3 years ago
⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

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f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

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Answer:

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Step-by-step explanation:

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