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yulyashka [42]
3 years ago
9

Given that f(x) = 4x - 7 and g(x) = 4x, find a simplified expression for f(f(x)).

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Given:

f(x)=4x-7

g(x)=4x

To find:

The expression for f(f(x)).

Solution:

We need to find f(f(x)).

f(f(x))=f(4x-7)                             [\because f(x)=4x-7]

f(f(x))=4(4x-7)-7                             [\because f(x)=4x-7]

Using distributive property, we get

f(f(x))=4(4x)+4(-7)-7

f(f(x))=16x-28-7

f(f(x))=16x-35

Therefore, the expression for f(f(x)) is f(f(x))=16x-35.

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