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Given the definition of f(x) and g(x) below, find the value of (g•f) (5).

Given the definition of f(x) and g(x) below, find the value of (g•f) (5).-example-1
User Dail
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EXPLANATION

Given the function f(x) = x^2 -5x + 1

and the function g(x) = 2x + 13

For g=2x + 13 substitute x with f(x) = x^2 -5x + 1

=2(x^2-5x+1) + 13

Expand 2(x^2-5x+1)+13

Distribute the parentheses:

=2x^2 + 2(-5x) + 2*1

Multiply the numbers: 2*5 = 10

=2x^2 -10x + 2*1

Multiply the numbers 2*1 = 2

=2x^2 -10x + 2 + 13

Add the numbers

=2x^2 -10x + 15

The value of (g•f) is 2x^2 -10x + 15

User Amila Senadheera
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