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3 years ago

If f(x) = -8x – 6 and g(x) = x+8, what is (fºg)(-7)? Enter the correct answer.

Mathematics

1 answer:

Semmy [17]3 years ago

6 0

9514 1404 393

Answer:

-14

Step-by-step explanation:

$(f\circ g)(x)=f(g(x))=f(x+8)=-8(x+8)-6\\\\(f\circ g)(x)=-8x-70\\\\(f\circ g)(-7)=-8(-7)-70=\boxed{-14}$

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zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

${ \tan}^{2} x + 1 = { \sec}^{2} x$

We take the LHS and simplify to arrive at the RHS.

${ \tan}^{2} x + 1 = \frac{{ \sin}^{2} x}{{ \cos}^{2} x} + 1$

Collect LCM on the right hand side to get;

${ \tan}^{2} x + 1 = \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}$

This implies that

${ \tan}^{2} x + 1 = \frac{1}{{ \cos}^{2} x} .$

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This identity has been verified .Therefore the correct answer is true.

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Answer:

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