Question

If f(x) = x + 5 and g(x) = x – 5 then fog(5) is​

Answer 1

Answer:

(g ∘ f )(x) = f(g(x)) = x

Step-by-step explanation:

Assuming we are talking about f(g(x)), then we would go about this this way:

f(g(x)) = f(x-5). The x-5 becomes the variable's "value" in function f. This means f(x-5) = (x-5) + 5 = x.

So, f(g(x)) = x

Answer 2

The value of fog(5) = 5

Given :

f(x) = x + 5 and g(x) = x – 5

To find :

The value of fog(5)

Solution :

Step 1 of 3 :

Write down the given functions

Here the given functions are

f(x) = x + 5 and g(x) = x – 5

Step 2 of 3 :

Find the function fog(x)

fog(x)

= f(g(x))

= f(x – 5) [ ∵ g(x) = x – 5 ]

= (x – 5) + 5 [ ∵ f(x) = x + 5 ]

= x – 5 + 5

= x

∴ fog(x) = x

Step 3 of 3 :

Find the value of fog(5)

fog(x) = x

Putting x = 5 we get

fog(5) = 5

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