Which expression is equivalent to 2(x + 7) – 18x + = ?

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Answer:

-16x + 14 or 2(7-8x)

Step-by-step explanation:

= 2(x + 7) – 18x

= 2x + 14 -18x

= -16x + 14

= 2(7-8x)

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How to find (c,d,e)<br>Please do a step by step working.Thank you.

Natasha2012 [34]

(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
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Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: $y =\frac{t - 3}{4}$

Answer for (b): $h^{-1}(t)$ = $\frac{t - 3}{4}$

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$g^{-1} ( h^{-1}(t)) = g^{-1} (\frac{t - 3}{4})$
replace all t's in the $g^{-1}(t)$ equation with $\frac{t - 3}{4}$
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Answer for (c): $g^{-1} ( h^{-1}(t))$ = $\frac{t + 1}{8}$

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h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
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