yume420
Answered

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Use the functions f(x)=x^2+8x-11,
g(x)=14-2/3x,
and h(x)=x-7
to find f(-4)-f(1)

Sagot :

themathexpertise

Answer:

f(-4) - f(1) = -25

Step-by-step explanation:

Knowing that:

f(x) = x² + 8x - 11,

First find f(-4). To do this, substitute -4 in for every x value in the function.

f(-4) = (-4)² + 8-(4) - 11

Square 4.

f(-4) = 16 + 8-(4) - 11

Multiply 8 and -4.

f(-4) = 16 - 32 - 11

Subtract 32 from 16.

f(-4) = -16 - 11

Subtract 11 from 48.

f(-4) = -27

Now find f(1). To do this substitute 1 in for every x value in the function.

f(1) = 1² + 8(1) - 11

Square 1.

f(1) = 1 + 8(1) - 11

Multiply 8 and 1.

f(1) = 1 + 8 - 11

Add 1 and 8.

f(1) = 9 - 11

Subtract 11 from 9.

f(1) = -2

Now take the difference of the results.

f(-4) - f(1) = -27 - (-2) = -27 + 2 = -25.

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