The table above gives values of f, f’, g, and g’ at selected values of x. If h(x) = f(g(x)), then h’(1) =

The Table Above Gives Values Of F, F, G, And G At Selected Values Of X. If H(x) = F(g(x)), Then H(1)

Answers

Answer 1

A composite function combines two or more functions.

The value of h'(1) is 5

The given parameter is:

[tex]\mathbf{h(x) = f(g(x)}}[/tex]

Take inverse of both sides

[tex]\mathbf{h'(x) = f'(g(x)}}[/tex]

Substitute 1 for x

[tex]\mathbf{h'(1) = f'(g(1))}}[/tex]

From the table, we have:

[tex]\mathbf{g(1) = -1}[/tex]

So, the equation becomes

[tex]\mathbf{h'(1) = f'(-1)}}[/tex]

From the table, we have:

[tex]\mathbf{f'(-1) =5}[/tex]

So, the equation becomes

[tex]\mathbf{h'(1) = 5}[/tex]

Hence, the value of h'(1) is 5

Read more about composite functions at:

https://brainly.com/question/18839694


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