2 years ago

For all values of x,f(x) = x^2 + 3x and g(x) = x - 4Show that fg(x) = x^2 - 5x + 4

Mathematics

1 answer:

Westkost [7]2 years ago

4 0

Answer:

f(g(x)) = x² - 5x +4

Step-by-step explanation:

Explanation

Given that the functions

f(x) = x² + 3 x and g(x) = x-4

f(g(x)) = f(x -4) (∵ g(x) = x-4)

= (x-4)² + 3(x-4)

= x² - 2(4)x + 4² + 3x -12

= x² - 8 x + 16 + 3x -12

= x² - 5x +4

∴ f(g(x)) = x² - 5x +4

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For all values of x,f(x) = x^2 + 3x and g(x) = x - 4Show that fg(x) = x^2 - 5x + 4​

For all values of x,f(x) = x^2 + 3x and g(x) = x - 4Show that fg(x) = x^2 - 5x + 4