Question

If f(x)=-5x-1 and g (x)= √x-6 what is (f º g)(7)

Answer 1

$(fog)(7) = -6$

Step-by-step explanation:

The function composition is achieved by putting the second function in first function in place of independent variable.

Given functions are:

$f(x) = -5x-1\\g(x) =\sqrt{x-6}$

In order to find (fog)(x) we will put function g in function f in place of x

$(fog)(x) = -5(g(x)) -1\\= -5\sqrt{x-6}-1$

Since we have to find (fog)(7)

Putting 7 in place of x

$= -5\sqrt{7-6} - 1\\=-5\sqrt{1}-1\\= -5(1) -1\\= -5-1\\=-6$

Hence,

$(fog)(7) = -6$

Keywords: Functions, composition

Learn more about functions at:

• brainly.com/question/10541435
• brainly.com/question/10666510

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