If f(x) = √x and g(x) = 7x + b, then
f(g(x)) = f(7x + b) = √(7x + b)
If the plot of f(g(x)) passes through (4, 6), then
f(g(4)) = √(7•4 + b) = √(28 + b) = 6
Solve for b :
√(28 + b) = 6
(√(28 + b))² = 6²
28 + b = 36
b = 36 - 28
b = 8
Answer:
Step-by-step explanation:
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Answer:
b = 12.5
Step-by-step explanation:
2=3.5(-3)+b
2=-10.5+b (you add 10.5 on both sides)
b= 12.5
Answer:
The correct option is D.
Step-by-step explanation:
The given graph is the graph of a cosine function, which shifts 1 unit left.
The cosine function is defined as

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.
If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.
Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

Option D is correct.