It can be found by using the formula,
an = a+(n-1)d
The answer is: [A]: " -53 " .
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Explanation:
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Given:
" Let f(x) = -2x −<span> 7 and g(x) = -4x + 3. Find (f o g)(-5) " ;
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First, find g(-5) . g(x) = -4x + 3.
g(-5) = -4*(-5) + 3 = 20 + 3 = 23 ;
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Now find f (g(-5) to get the answer; that is f(23);
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Find f(23). f(x) = -2x </span>− 7 .
f(23) = (-2*23) − 7 = -46 <span>− </span>7 = -53 ; which is "Answer choice: [A]" .
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The graph looks like this, on the enclosed pic:
One feature is that it's periodic and torn (has cut-off points), meaning the domain is the same as in case of tan(x): x€R and x =/= π/2+πn.
The range equals the range of arcsin(x): -π/2<=y<=π/2 OR y€[-π/2;π/2]
Hope could understand and if it helped! :)
We know that
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option<span>
a = -5, opens down</span>
see the attached figure
Answer:
It should be the second one
Step-by-step explanation: