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if f(x)=x-3/4 and h(x)=3x-4 find f(h(-1))

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Answer:

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Answer:

f(h(-1)) = -2.5

Step-by-step explanation:

We are given:

f(x) = (x - 3)/4

h(x) = 3x - 4

Knowing this, first find h(-1).

h(-1) = 3(-1) - 4

Multiply 3 and -1.

h(-1) = -3 - 4

Subtract 4 from -3.

h(-1) = -7

Now knowing this evaluate the function out.

f(h(-1)) = f(-7)

Evaluate f(-7).

f(x) = (x - 3)/4

Substitute variable.

f(-7) = ((-7) - 3)/4

Subtract 3 from -7.

f(-7) = (-10)/4

Divide -10 by 4.

f(-7) = -2.5

This means that f(h(-1)) = -2.5.