Values of the following expressions: a) (g \cdot f)(0) b) (f \c

FobelloE

FobelloE

Answered question

2021-09-12

Values of the following expressions:
a) (gf)(0)
b) (fg)(5)
c) (gg)(10)

Answer & Explanation

FieniChoonin

FieniChoonin

Skilled2021-09-13Added 102 answers

Given:
The table of values for two functions:
x051015f(x)501015
x051015g(x)151050
Formula used:
Composition of functions is defined as: (fg)(x)=f(g(x))
Calculation:
Upon using the definition of composition functions and plugging the required values, we get:
a) (gf)(0)=g(f(0))=g(5)=10
b) (fg)(5)=f(g(5))=f(10)=10
c) (gg)(10)=g(g(10))=g(5)=10
Conclusion:
a) (gf)(0)=10
b) (fg)(5)=10
c) (gg)(10)=10

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