Composition and Inverse f(x)=2x+5 g(x)=x2-3 h(x)=7-x /3

Composition and Inverse f(x)=2x+5 g(x)=x2-3 h(x)=7-x /3

Composition and Inverse

We define the following functions:

f(x)=2x+5 g(x)=x2-3 h(x)=7-x /3

Compute (f – h) (4).

Evaluate the following two compositions: (fog)(x) and (hog)(x)

Transform
the g(x) function so that the graph is moved 6 units to theright
and 7 units down.

Find the inverse functions f -1(x) and h -1(x)

Please make sure to include:

Your solutions to the above problems, making sure to include allmathematical
work for both problems, as well as explaining each step.

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