Here is the algebraic process of composing these linear functions.

Remember on the first page, we discovered that composing two linear functions would give us another linear function.

Well, here it is.

So, when composing linear functions, we will always get a linear function whose slope is equivilant to the product of the coefficients of the slope of f(x) and g(x).

The y-intercept is found by multiplying the coefficient of the slope of f(x) with the y-intercept of g(x) then adding the y-intercept of f(x)

If you look carefully at the graph, you can see that the new linear equation has a slope of 10 and crosses the y-axis at 33.

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